Question

Which graph shows the solution to the system of linear equations? y= 2x y=X- 2​

Answer 1

(-2, -4)

Explanation:

Systems of equations are sets of two or more equations that share the same variables.

Graphing

To graph a system of equations, simply graph each line individually. Both of the equations given are linear. Attached is a graph of both equations. As you can see the graphs intersect at (-2, -4).

Solutions to Systems of Equations

The solution to a system of linear equations is the coordinate point that the lines intersect. This is the point where the x and y-values make both equations true. To check the answer, plug the values into the equations. If both remain true, the answer is correct.

First, y = 2x

• -4 = 2(-2)
• -4 = -4

This is true. Next, y = x - 2

• -4 = -2 - 2
• -4 = -4

This is also true; thus the answer is (-2, -4).