Question

What is the solution to the system of equations graphed below?

y = 2x - 7
y = -x - 1

A. (2, -3)
B. (4, 1)
C. (0, -1)
D. (3, -2)

Answer 1

The solution to the system of equations is (2, -3).

Step-by-step explanation:

The solution to the given system of equations can be found by solving them simultaneously. The equations are:

y = 2x - 7

y = -x - 1

We can solve the system by setting the two equations equal to each other:

2x - 7 = -x - 1

Adding x to both sides gives us:

3x - 7 = -1

Adding 7 to both sides gives us:

3x = 6

Dividing both sides by 3 gives us:

x = 2

Substituting the value of x into either of the original equations gives us:

y = -x - 1

y = -2 - 1

y = -3

Therefore, the solution to the system of equations is (2, -3), which corresponds to option A.