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
2 x - y = 6
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We will use the substitution method:
1st equation: y = - x +3
2nd equation: 2 x - ( - x +3 ) = 6
2 x + x - 3 = 6
3 x = 9
x = 9 : 3
x = 3
Answer: The x-coordinate of the solution to this system of equation is 3.