Question

Which graph best represents the solution to the system of equations shown below?

y = -2x + 14
y = 2x + 2

Answer 1

The efficient way might be solving for the crossing point of the two lines:

Add 2 equations together, you will get:

2y = 16 -> y = 8

Then, x = 3

So the point will be (3,8)

Apparently, A will be the answer

Answer 2

solution is (3,8)

option A

Explanation:

`y = -2x + 14`

`y = 2x + 2`

Lets graph each equation

Given equation is in the form of y=mx+b

LEts graph each equation using a table

`y = -2x + 14`

x y

0 14

1 12 points are (0,14) and (1,12)

`y = 2x + 2`

x y

0 2

1 4 points are (0,2) and (1,4)

Graph both the table

The graph is attached below. both graph intersects at (3,8)