Question

Solve the system of equations 5 – 5y = 0 and 4x – 6y = –18 by combining the
equations.

Answer 1

y=1, x=-3

Explanation:

Isolate y for 5-5y=0

5-5y=0

Subtract 5 from both sides

5-5y-5=0-5

Simplify:

-5y=-5

Divide both sides by -5

-5y/-5=-5/-5

Simplify

y=1

Substitute y=1

4x-6*1=-18

Simplify

4x-6*1=-18

Simplify 4x-6*1

4x-6=-18

Add 6 to both sides:

4x-6+6=-18+6

simplify

4x=-12

Divide both sides by 4

4x/4=-12/4

Simplify

x=-3

The solutions to the system are

y=1, x=-3

Answer 2

5-5y=0
-5y=-5
y=1

4x-6y= -18 (sub y=1)
4x-6(1)=-18
4x-6=-18
4x=12
x=3

4x-6y= -18 (sub in x=3 to find y)
4(3)-6y=-18
12-6y=-18
-6y=-30
y=5

Therefore, the solution of the two equations is x=3 and y=5!! :)