Question

Please assist me! I will give the brainliest answer! Plus extra points!!


Consider the following pair of equations:

y = x + 4
y = −2x − 2

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answer 1

Step 1: Replace $y$ in the second equation with the right side of first equation like that:
$x+4=-2x-2$

Step 2: Solve that simple equation:
$x+4=-2x-2$
$x+2x=-2-4$
$3x=-6$
$x=-6/3=-2$

Step 3: Replace $x$ of first equation with found value and solve it:
$y=-2+4$
$y=2$

So, the solution is: $x=-2$ and $y=2$.