Find the solution of 2x+2y=10 and x=5y+20

(15/2, - 5/2)

Step-by-step explanation:

1. Sub x=5y+20 into 2x+2y=10 and simplify as shown below.

2 (5y+20) + 2y=10

10y+40+2y=10

12y+40=10

12y=-30

y=-30/12

y=-5/2

2. Sub in y=-5/2 into 2x+2y=10 to find x and simplify as shown below.

2x+2 (-5/2) = 10

2x-5=10

2x=15

x=15/2