1. Choose the best method to solve by looking at the way the equations are set up for you:
- In this case, the best method would be elimination.
2. Using the best method, how could you get the x variables to cancel out?
- By multiplying the first equation by 2 and the second equation by -3, the x variables will cancel out.
3. After you complete step 2, what would your top equation be?
- The top equation after elimination would be 6x + 8y = 96.
4. Line them up and add the equations together to get this equation.
- After adding the equations, we get 0 + 12y = 156.
5. Solve for y.
- Dividing both sides of the equation by 12, we have y = 13.
6. Solve for x.
- Plugging the value of y into either of the original equations, we can solve for x. Let's use the first equation:
3x + 4y = 48
3x + 4(13) = 48
3x + 52 = 48
3x = 48 - 52
3x = -4
x = -4/3
To solve this system, you could do the following steps:
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 this equation. ____
5. Solve for y. ___
6. Solve for x. ___
1 answer
1 answer