The following set of linear equations 2x+2y=18 x+3y=17

x = 5

y = 4

Step-by-step explanation:

1. 2x + 2y = 18

2. x + 3y = 17

Multiply the first equation by 1 and the second equation by 2 to eliminate x

We have

2x + 2y = 18

2x + 6y = 34

Subtract equation 2 from equation 1

-4y = - 16

Divide both sides by - 4 to isolate y

-4y/-4 = - 16/-4

y = 4

Now substitute 4 for y in either equation to get x. Using equation 2 we have

x + 3y = 17

x + 3 x 4 = 17

x + 12 = 17

Subtract 12 from both sides

x + 12 - 12 = 17 - 12

x = 5

x = 5 and

y = 4