Question

if x= 2y-4 and x=6y+16 find the value for both x and y

Answer 1

In order to find the values of x and y, let's compare both values of x given:

$\begin{gathered} x=2y-4 \\ x=6y+16 \\ \\ 2y-4=6y+16 \\ 6y-2y=-4-16 \\ 4y=-20 \\ y=-\frac{20}{4} \\ y=-5 \\ \\ x=2y-4 \\ x=2\cdot(-5)-4 \\ x=-10-4 \\ x=-14 \end{gathered}$

So we have that x = -14 and y = -5.