To solve this system, you could do the following steps:

Question

3x+4y=48

6x+2y=60
Choose the best method to solve by looking at the way the equations are set up for you:
Using the best method, how could you get the x variables to cancel out?
. After you complete step 2, what would your top equation be? Response area
Line them up and add the equations together to get this equation.
. Solve for y.
. Solve for x.
all the possible solutions:
choose a method:
substitution, graphing, elimination

Operation to get the x variables to cancel
divide the bottom equation by 2
multiply the bottom equation by x2
mulitply the top equation by x-2
divide the top equation by 4

simplified top equation
-6x+4y=96
x+2y=46
-6x-8y=-96
3x+7=30

after adding the equations
8y-96
-6y=-36
6y=-96
-8y=-96

solve for x and y
y=-12
x=6
y=18
x=-3

Answer 1

The possible solutions for this system of equations are:

- substitution: y = -12, x = 6
- graphing: y = 18, x = -3
- elimination: y = -12, x = 6

The operation to get the x variables to cancel is to multiply the bottom equation by 2.

The simplified top equation after step 2 would be -6x + 4y = 96.