(08.03)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.

-2,2

Step-by-step explanation:

1) First, we need to substitute x + 4 for y in the 2nd equation so your equation should now look like this...

2) x + 4 = -2x -2 Now we need to add 2x to both sides of this equation

so x plus 2x is 3x and -2x plus 2x is o so your equation should now look like this

3) 3x + 4 = -2 So now we need to add -4 to both sides so 4 plus -4 is zero and -2 plus -4 is -6 so your equation should look like this..

4) 3x + -6  now we need to divide both sides by 3 so 3x divided by 3 is 1 and -6 divided by 3 is -2 so your equation should look like this

5) x = -2 now we know what our x is but we need our y so we need to substitute -2 for x in the equation y= x + 4 so y= -2 + 4 Now add -2 to 4 and get 2 now you have your Y

Solution (-2,2)