Question

Find the value of x and y

Answer 1

y = 9, x = 17

Step-by-step explanation:

This is a parallelogram, meaning that it has two sets of parallel (and thus equal) sides. One side is going to be EQUAL to its opposite. So side 3y + 2 is going to be equivalent to side y + 20! We can set it up in a way that we can find y.

3y + 2 = y + 20

Our job is to isolate y here. I'll start by subtracting 2 on both sides.

3y = y + 18

Subtract y from both sides.

2y = 18

Divide by 2 on both sides.

y = 9

Ta-da! Same concept with the other two sides.

x + 20 = 3x - 14

Solve for x. I'll start here by subtracting x on both sides.

20 = 2x - 14

Add 14 on both sides.

34 = 2x

Divide by 2 on both sides.

17 = x

Answer 2

x = 17

y = 9

Step-by-step explanation:

Set the x-variables and y-variables with its corresponding ones, like so:

x + 20 = 3x - 14

Subtract x from both sides:

20 = 2x - 14

Add 14 to both sides:

34 = 2x

Divide both sides by 2:

17 = x

Solving for y:

3y + 2 = y + 20

Subtract y from both sides:

2y + 2 = 20

Subtract 2 from both sides:

2y = 18

Divide both sides by 2:

y = 9