Question

PLEASE HELP ME

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

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

A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 8, 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 8, negative 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, 8.

Answer 1

A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.

Explanation:

Finding the solution of these 2 equations

1. y = -2x + 14
2. y = 2x + 2

Equating them :

• -2x + 14 = 2x + 2
• 2x + 2x = 14 - 2
• 4x = 12
• x = 3

Substitute in a equation to find y :

• y = 2(3) + 2
• y = 6 + 2
• y = 8

The solution is (3, 8).

The 1st explanation is the correct one.