Solve the equation ...

х = Зу-7

3 х + 4y = 18

X=

Y=

x = 2, y = 3

Step-by-step explanation:

First we need to choose a variable to solve for. In this case, let's solve for y first since they give us x.

Let's plug the x into the equation.

3 (3y - 7) + 4y = 18

Then let's distribute and add like terms.

9y - 21 + 4y = 18

13y - 21 = 18

Then add 21 on both sides.

13y = 39

Then divide by 13 to solve for y.

y = 3

Now that we solved for y, let's use the first equation to solve for x. You could use either one, but the top one will make it easier. Simply plug in the value of y and add like terms.

x = 3 (3) - 7

x = 9 - 7

x = 2

Note that if you ever feel unsure about an answer, you can simply plug the value back into the equation and check if they equal each other.

X = 2 Y = 3

(2) = 3 (3) - 7

2 = 9 - 7

2 = 2

3 (2) + 4 (3) = 18

6 + 12 = 18

18 = 18