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 _____. Numerical answers expected! Answer for blank 1:

Answer 1

hi! the answer is 3, i just took the test

Answer 2

The x-coordinate of the solution to this system of equations is 3

Explanation:

Given the system of equations:

`x+y = 3` ....[1]

`2x-y = 6` ....[2]

Add equation [1] and [2] we have;

`x+y+2x-y = 9`

Simplify:

`3x = 9`

Divide both sides by 3 we have;

x = 3

Substitute in [1] we have;

3+y = 3

⇒y = 0

Solution for the given system of equation is= (3, 0)

Therefore, the x-coordinate of the solution to this system of equations is 3