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Which point appears to be the solution to the system of equations?

Which point appears to be the solution to the system of equations?-example-1
User John Spax
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1 Answer

15 votes
15 votes

Answer: (-3, -2)

Explanation:

The solution to the system of equations is the point at which the two equations intersect.

The two equations that are given are 2x - y = - 4 and x - y = - 1.

Step 1: Turn the equations into slope-intercept form.

2x - y = - 4 → y = 2x + 4

x - y = - 1 → y = x + 1

Step 2: You set both of the equations equal to each other and solve for x.

2x + 4 = x + 1

- x - x

x + 4 = 1

- 4 - 4

x = - 3

Step 3: Plug x into one of the equations and solve for y.

y = -3 + 1

y = -2

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