Question

What is the solution of the system of equations below?
2x+3y=7
x+y=4

Answer 1

Answer: x=5, y=-1

Explanation:

2x+3y=7, x+y=4

For y:

2x+3y=7 can be rewritten as 2(x+y)+y=7

substitute (x+y) for 4

2(4)+y=7

8+y=7

y=7-8

y=-1

For x:

Plug in -1 for y

2x+3(-1)=7

2x-3=7

2x=7+3

2x=10

x=5

x=5, y=-1