16.1k views
10 votes
100 points! asap! 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.

User Amadas
by
8.1k points

1 Answer

8 votes

Answer:

A) 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:

Given equations:


\textsf{Equation 1}: \quad y=-2x+14


\textsf{Equation 2}: \quad y=2x+2

Substitute Equation 2 into Equation 1 and solve for
x:


\implies 2x+2=-2x+14


\implies 4x=12


\implies x=3

Substitute found value of
x into Equation 2 and solve for
y:


\implies y=2(3)+2=8

Therefore, the solution to the system is (3, 8).

This is the point of intersection of the two lines.

User Lee Daniel Crocker
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories