To solve this system, you could do the following steps: 3x+4y=48 6x+2y=60 (6 points)
1. Choose the best method to solve by looking at the way the equations are set up for you:_______
Choose a method
A. Graphing
B. Substitution
C. Elimination
2. Using the best method, how could you get the x variables to cancel out?_____
Operation to get the x variables to cancel
A. Multiply the top equation x-2
B. Divide the bottom equation by 2
C. Multiply the bottom equation x 2
D. Divide the top equation by 4
3. After you complete step 2, what would your top equation be?____
Simplified top equation
A. -6x-8y=-96
B. -6x+4y=96
C. x+2y=46
D. 3x+y=30
4. Line them up and add the equations together to get this equation____
After adding the equations
A. 6y=-96
B. 8y = 96
C. -6y=-36
D. -8y=-96
To solve this system, the best method to use is C. Elimination since the coefficients of either x or y can be easily manipulated to cancel out.
To get the x variables to cancel out, the operation to perform is D. Divide the top equation by 4.
After performing this operation, the top equation becomes D. 3x+y=12.
When the equations are lined up and added together, the resulting equation is A. 6y=12.
Therefore, the correct answers are:
1. C. Elimination
2. D. Divide the top equation by 4
3. D. 3x+y=12
4. A. 6y=12
1. Choose the best method to solve by looking at the way the equations are set up for you: C. Elimination
2. Using the best method, how could you get the x variables to cancel out? D. Divide the top equation by 4
3. After you complete step 2, what would your top equation be? C. x+2y=46
4. Line them up and add the equations together to get this equation: D. -8y=-96
1. The best method to solve this system would be C. Elimination.
2. To get the x variables to cancel out, you would need to multiply the top equation by 2.
3. After multiplying the top equation by 2, the simplified top equation would be B. -6x+4y=96.
4. After adding the equations together, the resulting equation would be B. 8y = 96.