Question

What is the x-coordinate of the solution of the following system of equations?

3x + y = 6
x - y = 6

a. -3
b. 0
c. 3

Answer 1

c because x is equal to 3 

Answer 2

The x-coordinate of of the solution of system of equations is 3.

Option (c) is correct .

Explanation:

As the system of equations are

3x + y = 6

x - y = 6

Now multiply x - y = 6 by 3 and subtrated from 3x + y = 6 .

3x - 3x + y + 3y = 6 - 18

4y = -12

`y = (-12)/(4)`

y = -3

Put in the x - y = 6

x - (-3) = 6

x + 3 = 6

x = 6 -3

x = 3

Therefore the x-coordinate of of the solution of system of equations is 3.

Option (c) is correct .