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

If you would like to solve the system of equations x + y = 3 and 2x - y = 6, you can do this using the following steps:

x + y = 3 ... y = 3 - x
2x - y = 6
_________
2x - y = 6
2x - (3 - x) = 6
2x - 3 + x = 6
3x = 6 + 3
3x = 9     /3
x = 9/3
x = 3

y = 3 - x = 3 - 3 = 0

The correct result would be x = 3.