Question

Solve this system of equations usingthe substitution method.y = x + 9y = - 4x – 6-

Answer 1

Given:

Here the system of eqution is given as

$\begin{gathered} y=x+9 \\ y=-4x-6 \end{gathered}$

Required:

Solve using the substitution method

Explanaton:

First put

$y=x+9$

in

$y=-4x-6$

we get

$x+9=-4x-6$

now isolate x

$\begin{gathered} x+4x=-9-6 \\ 5x=-15 \\ x=-3 \end{gathered}$

now put the value of x first equation

$\begin{gathered} y=-3+9 \\ y=6 \end{gathered}$

Final answer:

Solution of given system of equation by using elimination is

$\begin{gathered} x=-3 \\ y=6 \end{gathered}$