Question

A system of equations is shown below:

x + y = 3
2x − y = 6

The x-coordinate of the solution to this system of equations is _____.

Answer 1

x+y=3

Subtract x from both sides

y=-x+3

Substitute

2x--x+3=6
2x+x+3=6
3x+3=6

Subtract 3 from both sides

3x=3

Divide both sides by 3

x=1