Question

Enter the ordered pair that is the solution to the system of equations graphed

below.
y = -3x + 7
y = -2x + 5

Answer 1

(2,1)

Explanation:

-3x + 7 = -2x + 5

x = 2

y = -6 + 7

y = 1

Answer 2

(2,1)

Explanation:

Remark

One thing you need to remind yourself of: The y value in both equations must be the same.

That means that the two right hand values are

-3x + 7 = - 2x + 5 Subtract 5 from both sides.

-5 -5

-3x + 2 = - 2x Add 3x to both sides

+3x +3x

2 = x

Now use one of the equations to solve for y

y = -2x + 5

y = -2(2) + 5

y = - 4 + 5

y = 1

We should check this by graphing it. Notice the two graphs do cross at (2,1) just as predicted.