Solve by adding the equations

Question

2x + y = 7
and
3х - y = 3

Answer 1

To solve this system of equations by adding, you need to add the left sides of the equations and the right sides of the equations separately.

Adding the left sides of the equations:
2x + y + 3x - y = 7 + 3
Combining like terms on the left side:
5x = 10
Divide both sides by 5:
x = 2

Adding the right sides of the equations:
7 + 3 = 10

The solution to the system of equations is x = 2 and y = 10.