Question

Solve the following system of equations graphically on the set of axes below.

y= x+6
y=−2x−3

Answer 1

x= -3

y= 3

Explanation:

x+6=-2x-3 Isolate the X

+2x +2x

3x+6=-3 Subtract 6 from both sides

-6 -6

(1/3)3x= -9(1/3) Divide 3 from both sides

x= -3

Then plug -3 into x on either equation to find the y axis

y=(-3)+6

y= 3

Answer 2

x=-3,y=3

Explanation:

substitute y

-2x-3=x+6

solve for x

3x=-9

x=-3

Substitute x in one equation

y=-3+6

y=3