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ddd [48]
3 years ago
13

4 - 3y = 31 what does y equal?

Mathematics
1 answer:
34kurt3 years ago
5 0
Here’s your answer:


Y=-9
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What is the x-value of the solution to the system of equations?
ValentinkaMS [17]

Answer:

The solution to the system of equations is:

x=4,\:y=-3

Step-by-step explanation:

Given the system of equations

5x + 4y =8

2x- 3y = 17

solving the system of equations

\begin{bmatrix}5x+4y=8\\ 2x-3y=17\end{bmatrix}

\mathrm{Multiply\:}5x+4y=8\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:10x+8y=16

\mathrm{Multiply\:}2x-3y=17\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:10x-15y=85

\begin{bmatrix}10x+8y=16\\ 10x-15y=85\end{bmatrix}

10x-15y=85

-

\underline{10x+8y=16}

-23y=69

\begin{bmatrix}10x+8y=16\\ -23y=69\end{bmatrix}

solve for y

-23y=69

Divide both sides by -23

\frac{-23y}{-23}=\frac{69}{-23}

y=-3

\mathrm{For\:}10x+8y=16\mathrm{\:plug\:in\:}y=-3

10x+8\left(-3\right)=16

10x-24=16

10x=40

Divide both sides by 10

\frac{10x}{10}=\frac{40}{10}

x=4

Thus, the solution to the system of equations is:

x=4,\:y=-3

7 0
3 years ago
Luis purchased 24 purple plants and 8 pink plants. He wants to plant them in equal groups in hos garden. What is the largest num
luda_lava [24]

Answer:

8 groups.

Step-by-step explanation:

We are told that Luis purchased 24 purple plants and 8 pink plants. He wants to plant them in equal groups in his garden. We are asked to find out largest number of groups he can make.

To solve this problem we will find GCF of 24 and 8.

Factors of 24 are: 1,2,3,4,6,8,12 and 24.

Factors of 8 are 1,2,4 and 8.

We can see that greatest common factor of 24 and 8 is 8.

Therefore, Luis can make 8 groups each having 3 purple plants and 1 pink plant.  

6 0
3 years ago
Which point lies on the graph of y = 2?A. (1.2)B. (1-2)C. (2, 18)D.(3, 2)
irinina [24]

A garph y=2 represents a line parallel to the x axis with the y coordinate equal to 2.

The point which lies on the y=2 graph has its y coordinate equal to 2.

In the given options, (3,2) is the coordinate with the y coordinate equal to 2.

Hence, (3,2) lies on the graph of y = 2.

Option (D) is the answer.

3 0
1 year ago
A 5-meter roll of fabric cost $23.50. What is the unit price?
ikadub [295]
Answer: $4.70 per meter.
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3 years ago
Last year, Gena’s food cart business was $225 in debt. This year, the debt has tripled. Which expressions show how much Gena’s b
NeX [460]

Answer:

B and E

Step-by-step explanation:

5 0
3 years ago
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