Question

Solve the system of equations. -6x+6y=6 -6x+3y=-12

Answer 1

Answer:

x=5 and y=6

Step-by-step explanation:

Answer 2

Answer:

x=5, y=6

Step-by-step explanation:

-6x + 6y = 6

If we divide this by 6 (which we can do because it is an equation), we can simplify this by a lot.

-6x + 6y = 6

-x + y = 1 <-- NEW EQUATION #1

We can also simplify -6x + 3y = -12 by dividing everything by 3.

-6x + 3y = -12

-2x + y = -4 <-- NEW EQUATION #2

Substitution is fairly easy for this problem.

Isolate the variable

-x + y = 1

y = x + 1

Now substitute (x+1) for where you see y in the second equation.

-2x + (x + 1) = -4

-x + 1 = -4

x = 5

Now substitute 5 for x.

-(5) + y = 1

y = 6