How do solve the following linear system?: y = 5x - 7, y = 4x + 4 y=5x7,y=4x+4?

1 Answer
Mar 20, 2018

Notice that they both have yy by itself, so if you set them equal to each other you can solve for x. This makes sense if you consider that yy has the same value, and must be equal to itself.

Explanation:

y=5x-7 and y=4x+4y=5x7andy=4x+4
5x-7=4x+45x7=4x+4
Subtract 4x4x from both sides
x-7=4x7=4
Add 7 to both sides
x=11x=11
5(11)-7=48=4(11)+45(11)7=48=4(11)+4