Solve the system of linear equations by substitution. Check your solilution.
y=x+3 y=5x-5​

Answers

Answer 1

9514 1404 393

Answer:

  (x, y) = (2, 5)

Step-by-step explanation:

Substitute the expression for y in the second equation into the first equation:

  5x -5 = x +3

  4x = 8 . . . . . . add 5-x to both sides

  x = 2 . . . . . . divide by 4

  y = 2+3 = 5 . . . substitute for x in the first equation

The solution is (x, y) = (2, 5).


Related Questions

Find 3 values that satisfy the inequality 4x - 3 < 25

Answers

Answer:See explanation

Step-by-step explanation:

The values that can be used to satisfy the inequality 4x - 3 < 25 will be calculated thus. We simply have to get the value of x and this will be:

4x - 3 < 25

4x < 25 + 3

4x < 28

x < 28/4

x < 7.

Therefore, the values that must satisfy the equation must be less than 7 such as 1, 2, 3, 4, 5 and 6.

Solve the following equation: -4(y - 2) = 12 *
1 point
y = 1
y = 5
y = -1
y = -5
y = 14

Answers

Answer:

y = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

-4(y - 2) = 12

Step 2: Solve for y

[Division Property of Equality] Divide -4 on both sides:                                y - 2 = -3[Addition Property of Equality] Add 2 on both sides:                                    y = -1

Answer:

-4y+8=12

-4y=12-8

-4y=4

y=-1

Which inequality below compares the two
integers for this situation correctly?
Sunday at noon, the temperature was 16
degrees above zero. Wednesday at
noon, the temperature was 10 degrees
below zero.


Choose...
16 < -10
-10 > 16
16 > -10
16 < 10

Answers

Answer:

the answer=C.16>-10

Step-by-step explanation:

sixteen is more than Negative ten

Which equation represents the graphed function?
O y=-3x + 3
O y = 3x - 3
O y = 3x - 1
O y=-x+3

Answers

Answer:

y = -⅓x + 3

Step-by-step explanation:

To find the equation of the graph in the form of y = mx + b (slope-intercept form), we have to find the slope (m) and the y-intercept (b) of the graph:

Slope (m) = change in y/change in x

Slope (m) using the two points on the line, (0, 3) and (3, 2):

m = (2 - 3)/(3 - 0) = -1/3

m = -⅓

y-intercept (b) = 3 (the y-axis is intercepted at this point)

✔️To write the equation, substitute m = -⅓ and b = 3 into y = mx + b:

Thus,

y = -⅓x + 3

What is the probability that the sun will be hot next hour

Answers

Answer:

100%

Step-by-step explanation:

its always very very hot.

㏒1/2(x²-5x+7)=0 hihihihihihih

Answers

Answer:

?????

Step-by-step explanation:

????

asaan ang sasagutan

I NEED HELP WITH MY HOMEWORK ASAP!!!!
I dont get it :(

Answers

where’s the homework

Simplify the expression by distributing. 4(w+8)
a)4w + 8
b)12w
с)4w + 32
d)4(8 + W)

Answers

Answer:

Option C

4w + 4(8)

=4w + 32.

4(w+8)
4*w + 4*8
4w + 32

Look at the cone above. If r = 4 cm and h = 4 cm, what is the volume of the cone? (Assume = 3.14) A. 64 cm3 B. 66.99 cm3 C. 64 cm2 D. 100.53 cm3

Answers

Answer:

66.99 cm³

Step-by-step explanation:

the volume = ⅓× 3.14 × 4²× 4 = 3.14 × 64/ 3

= 66.99 cm³

If John were to create a scatterplot, all of the following will be characteristics of correlation EXCEPT ___________.

Answers

Answer:

The answer is "Amount of daily sales at any given temperature".

Step-by-step explanation:

John, an ice-cream saloon's proprietor, gathers ice-cream day-to-day sales data in regards to the everyday temp.

When John wants to make a dispersal plot, the follows will be correlation qualities except for the number of transactions a day at any specific temperature.

Its strength, degree, or direction can be estimated by association, however, the number of daily sales cannot be measured by dispersion at any given temperature.

Which of the following is not an undefined term?

point
ray
plane
line

Answers

Answer:

point line and plane

Step-by-step explanation:

they are not an undefined term

The solution to the system of equations is (0, 4).
(PIC 1)
TRUE or FALSE


The solution to the system graphed below is (1, -2).
(PIC 2)
TRUE OR FALSE

Answers

Answer:

1 is false

2 is true

Step-by-step explanation:

The solution is the coordinate where the two lines intersect

For the first image the two lines intersect at (3,5) therefore (0,4) is not a solution to the system of equations

For the second image the lines intersect at (1,-2) therefore the statement is true

Pic 1: False
Pic 2: True

The number of rainbow smelt in Lake Michigan had an average rate of change of −19.76 per year between 1990 and 2000. The bloater fish population had an average rate of change of −92.57 per year during the same time. If the initial population of rainbow smelt was 227 and the initial population of bloater fish was 1,052, after how many years were the two populations equal?

The linear function that models the population of rainbow smelt is y1 = −19.76x + 227, where
x = the years since 1990 and y1 = the number of rainbow smelt.

The linear function that models the population of bloater fish is y2 =
.

The linear equation that determines when the two populations were equal is
.

The solution is x =
years.

Answers

Answer:

y2 = - 92.57x + 1052 ;

11.331 years

Step-by-step explanation:

Given that :

The linear function that models the population of rainbow smelt is y1 = −19.76x + 227, where

x = the years since 1990 and y1 = the number of rainbow smelt.

The linear function that models the population of boater fish is :

Rate of change, slope = - 92.57 ; initial population, intercept = 1052

Representing the equation in the form ;

y = bx + c

b = slope or rate of change ; c = intercept

y2 = - 92.57x + 1052

To express equality :

y1 = y2

- 19.76x + 227 = - 92.57x + 1052

Collect like terms :

-19.76x + 92.57x = 1052 - 227

72.81x = 825

x = 825 / 72.81

x = 11.331 years

y2 =  –92.57x + 1,052

–19.76x + 227 = –92.57x + 1052

11.33

Find the measure of the missing angle
Answer: a=

Answers

Answer:

C + 88 = 180

-88         -88

C and B = 92

Since C is vertical to B that means both values are the same. Therefore the values of c and b is 92 degrees.

G P
2 3
S I
2 8
Q E
2 ??​

Answers

Answer:

yea i dont know this one bro gp 23 si 28

Step-by-step explanation:

2. Name the numerator and the denominator in each fraction.
a.
11/12
b. 7512
C.
12/0
d. ²8

Answers

Answer:

Step-by-step explanation:

a.11/12 =11 is numerator and 12 is denominator

b.7/512 =75 is numerator and 512 is denominator

c.12/10 = 12 is numerator and 10 is denominator

d0/78 = 0 is numerator and 78 is denominator

point to remember : In fraction,upper part is always numerator and down part is denominator.

s an initial service charge of $100 plus $50 per hour of use, and $20 per hour for the driver. Darren rented a limousine for his wedding. The expression \large 100+h\left(50\right)+h\left(20\right) represents his cost for h hours.

Part A: Find a simpler way to calculate the cost. Explain.
Part B: Find the cost for 7 hours of rental time.

Answers

Answer:

A: $100 + $70h = Cost

B: $590

Step-by-step explanation:

A: you can combine the use rate and the driver rate together since they both have the save variable.

B: $100 + $70 (7) = Cost

$100 + $490 = Cost

$590 = Cost

Write a system of equations to describe the situation below, solve using substitution, and fill in the
blanks
Whitney wrote a business plan for an entrepreneurship class, and now she has to make bound
copies. Whitney could use a printer who charges a setup fee of $44 and $7 for every copy printed.
Another possibility is to go to the office supply store, where she could pay an up-front fee of $34
and $8 per copy. There is a certain number of copies that makes the two options equivalent in
terms of cost. How many copies is that? How much would the copies cost?
For
copies, the cost is $


Can u help me please??

Answers

Answer:

Let C represent the total cost of each deal  

Let T be the number of trips down the water slide

C = 32        for the 1st deal since the cost is the same regardless of how much she rides  

C = 18 + T  for the 2nd deal

To find when the two costs are equal set them equal to each other and solve for T

32 = 18 + T

T = 14  trips

The cost must be $32 since that is the only cost possible for the 1st deal  

Step-by-step explanation:

The amounts of money Brittany earned each week from babysitting for 5 weeks are $12, $62, $70, $54, and $62. The mean amount earned is $52 and the median amount earned is $62. Identify the outlier and describe how the mean and median are affected by it.​

Answers

Answer:

The outlier is $12, results in a decrease in the mean. Outliers have little influence on the median.

If you actually calculate and try and find an outlier, this dataset doesn't have one. But I'm going to assume they're just looking for an extreme number in the set since it clearly says to identify it

The requried outlier is $12 and it significantly affects the mean by lowering it, but it does not affect the median.

What is the median?

When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.

Here,

The outlier in this data set is the first observation of $12, which is significantly lower than the rest of the values.

The mean is calculated by adding all the values and dividing by the number of values. In this case, the mean is:

$12 + $62 + $70 + $54 + $62 = $260

$260 ÷ 5 = $52

When the outlier of $12 is included in the calculation, it significantly lowers the mean.

The median is the middle value when the data set is arranged in order from least to greatest. In this case, the median is $62, which is not affected by the outlier of $12.

Therefore, the outlier is $12 and it significantly affects the mean by lowering it, but it does not affect the median.

Learn more about medians here:

https://brainly.com/question/28060453
#SPJ7

Find the equation of the line.

Answers

Answer:

y= x - 5

Step-by-step explanation:

The equation of a line is generally y=mx+b.

m= the slope, b= the y-intercept

By looking at the graph we can see the line intercepts the x-axis at (5,0) and the y-axis at (0,-5). With these two points, you can find the slope with the slope formula:

m=y2−y1/x2−x1

Plug in (5,0) and (0,-5):

m= -5 - 0 / 0 - 5

m = -5/-5

m = 1

The slope is equal to 1. You can also confirm this by looking at the graph where the line intercepts each point "up one point, over one point." This is known as the "rise over run."

Now the y-intercept or "b" in the equation is (-5) since the other point has a y-intercept of 0.

So plug these numbers into the line equation, y=mx+b:

m= 1

b= -5

y= mx+5

y= (1)x + (- 5)

y= x - 5

Voila!

The equation of the line is equal to y= x - 5

The general equation of a line is;

y=mx+b.

Where m= the slope, b= the y-intercept

Since we can see the line intercepts the x-axis at (5,0) and the y-axis at (0,-5). With these two points, we can find the slope with the slope formula:

[tex]m=(y_2-y_1)/(x_2-x_1)[/tex]

Substitute in (5,0) and (0,-5)

m= -5 - 0 / 0 - 5

m = -5/-5

m = 1

Now the y-intercept or "b" in the equation is (-5) since the other point has a y-intercept of 0.

So, substitute numbers into the line equation, y=mx+b:

y= mx+5

y= (1)x + (- 5)

y= x - 5

Learn more about linear equations;

brainly.com/question/15420947

#SPJ6

I don’t know what to do this is the last question!!!

Answers

Answer:

5/8 miles

Step-by-step explanation:

2 1/4 - 2 5/8 = 2 2/8 - 2 5/8 = 5/8

Hope this helps!

How many square feet does the paint need to cover?

Answers

Answer:

62 square feet

Step-by-step explanation:

9 x 8 = 72

5 x 2 = 10

72 - 10 = 62

for part A the choices are 25 and 34 and for part b it is 2 and 10

Answers

Answer:

Part A is 34

Part B is 2

Step-by-step explanation:

This question did provide some clues to answer this question. Every week, the area covered by the algae is multiplied by 2^1.

To find the area cover increase by the algae per day, the exponent should be divided by 7 since there are 7 days in a week. Hence, every day, the area covered by the algae multiplies by 2^(1/7). In other words, 1 day after the algae was spotted, the area is 12.5 * 2^(1/7), which answers part B.

10 days after the algae was spotted, the area covered by the algae is 12.5 * 2^[(1/7)*10] = 33.6475... , which rounds up to 34 and answers part A.

If 16x2 + nx + 49 is the square of a
binomial, then what value could n be?
A.14
B.28
C.42
D.56

Answers

Answer:

Th correct option is (d).

Step-by-step explanation:

The given expression is :

[tex]16x^2 + nx + 49[/tex] ....(1)

We know that, 16 = 4² and 49 = 7²

Also, (a+b)² = a²+2ab+b²

The given expression becomes,

[tex]16x^2 + nx + 49=(4x)^2+nx+7^2\\\\=(4x)^2+2(4x)(7)+7^2\\\\=16x^2+56x+49\ ......(2)[/tex]

Comparing equations (1) and (2),

n = 56

Hence, the value of n is equal to 56.

If right get brainly!! 20 points!!

TR (N)*2
or in other words triangle number of N times 2

Answers

Answer:

NEDD POITS SERY

Step-by-step explanation:

In a class of 35 students 1/5

of total students like to play cricket, 2/5 of students like to play football, remaining students like to play volleyball

i) How many students like to play cricket

ii) How many students like to play football?

iii) How many students like to play volleyball?

if you answer correctly you wil get brainliest plus 10 points

if you give wrong answer your wrong answer will be reported

only people who know maths well can give correct answer.

Good luck​

Answers

Answer:

7 play cricket

14 play football

21 play volleyball

Step-by-step explanation:

The measure of the angle turns through 1 over 9 of the cicle the angle measure can be found using the expressions

Answers

Answer:

1-9 the answer is -8of the circle

Step-by-step explanation:

In the following figure determine the volume of the triangular prism
A.192cm3
B.384cm3
C.296cm3
D.322cm3

Answers

D - 322cm3 hope this helps

The answer is not A please help

Answers

Answer:

C

Step-by-step explanation:

Have a nice day

What is the area of the triangle?

Answers

Answer:

126.5 cm^2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

253[tex]cm^{2}[/tex]

Step-by-step explanation:

11 times 23 =253[tex]cm^{2}[/tex]

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