Question

Solve the system of equations graphed on the coordinate axis below y= -4/3x - 6 and y= 4/3x + 2

PLEASE HELP ME! THANK YOU!

Answer 1

To solve this system of equations, we can set the two equations equal to each other and solve for x:

-4/3x - 6 = 4/3x + 2

First, we can simplify both sides by adding 4/3x to both sides:

-4/3x + 4/3x - 6 = 2

Simplifying further, we can add 6 to both sides:

-4/3x + 4/3x = 2 + 6

This simplifies to:

0 = 8

This is a contradiction, which means that the system of equations has no solution.

Imagine we look at the graph of the two lines, we can say that they are parallel and never intersect. This confirms that there is no solution to the system of equations.