What is the solution of the system of equations below?

2x+3y=7

x+y=4

Answer: x=5, y=-1

Step-by-step 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