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

Answer:

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

Step-by-step 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