Question

What is the solution of the system of equations? y – 2x = –6 y – 4x = 0

Answer 1

Answer:

The solution of the system of equations will be:

$y=-12,\:x=-3$

Step-by-step explanation:

Given the system of equations:

$\begin{bmatrix}y-2x=-6\\ y-4x=0\end{bmatrix}$

Isolate $y$ for $y-2x=-6$, $y=-6+2x$

$\mathrm{Subsititute\:}y=-6+2x$

$\begin{bmatrix}-6+2x-4x=0\end{bmatrix}$

$\begin{bmatrix}-6-2x=0\end{bmatrix}$

Isolate x for $-6-2x=0$, $x=-3$

$\mathrm{For\:}y=-6+2x$

$\mathrm{Subsititute\:}x=-3$

$y=-6+2\left(-3\right)$

$y=-12$

Therefore, the solution of the system of equations will be:

$y=-12,\:x=-3$