How do you solve y= 4x + 45 and x= 4y?

1 Answer
Oct 4, 2015

x=-12x=12, y=-3y=3

Explanation:

Knowing that x=4yx=4y, you can write the first equation as

y=4(4y)+45 -> y=16y+45 -> -15y=45y=4(4y)+45y=16y+4515y=45, isolating the yy-terms by bringing them all to the left. Now, solving by yy, we have y=-3y=3.

Since xx was 4y4y, we know that x=4*(-3)x=4(3), and thus x=-12x=12 and the system is solved.