Question

The graph below shows a system of equations: y = -x - 2 and y = 2x - 5. The x-coordinate of the solution to the system of equations is?

Answer 1

The x-coordinate of the solution to the system of equations is 1.

Step-by-step explanation

The given equations are:

y = -x - 2

and

y = 2x - 5.

We want to find the x-coordinate of the solution to the system of equations.

We equate the two equations to obtain an equation in x.

This implies that,

2x-5=-x-2

Group similar terms to obtain:

2x+x=-2+5

Simplify

3x=3

Divide both sides by 3.

x=1

The x-coordinate of the solution to the system of equations is 1