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

Answer:

solution is (3,8)

option A

Step-by-step 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)