1. The best method to solve this system of equations is the method of elimination.
2. To get the x variables to cancel out, we can multiply the first equation by 2 and the second equation by -3.
3. After multiplying the equations, we would have:
6x + 8y = 96
-18x - 6y = -180
4. Line them up and add the equations together to get:
-12y = -84
5. Solving for y, we divide both sides of the equation by -12:
y = 7
6. Substituting the value of y back into one of the original equations, we can solve for x:
3x + 4(7) = 48
3x + 28 = 48
3x = 48 - 28
3x = 20
x = 20/3 or 6.67
3x+4y=48
6x+2y=60
1. Choose the best method to solve by looking at the way the equations are set up for you:
2. Using the best method, how could you get the x variables to cancel out?
3. After you complete step 2, what would your top equation be?
4. Line them up and add the equations together to get:
5. Solve for y.
6. Solve for x.
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