Knowing that x=4yx=4y, you can write the first equation as
y=4(4y)+45 -> y=16y+45 -> -15y=45y=4(4y)+45→y=16y+45→−15y=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.