Question

Solve this system by substitution. y = 4x - 9 y = 6x - 15 +Remember to write your answer as a coordinate point (x, y).

Answer 1

We will solve as follows:

*Since in both equations is solved for y, then we equal them and solve first for x:

$4x-9=6x-15\Rightarrow2x=6\Rightarrow x=3$

Now, we replace x in one of the equations to solve for y:

$y=4(3)-9\Rightarrow y=3$

So, the solution for the system is the point (3, 3). It can be clearly seen in the following graph: