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: Response area
2. Using the best method, how could you get the x variables to cancel out? Response area
3. After you complete step 2, what would your top equation be? Response area
4. Line them up and add the equations together to get this equation. Response area
5. Solve for y. Response area
6. Solve for x. Response area
1. The best method to solve this system is elimination or substitution.
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 completing step 2, the top equation would be 6x + 8y = 96.
4. If we line up the equations and add them together, we get:
(6x + 8y) + (6x + 2y) = 96 + 60
12x + 10y = 156.
5. To solve for y, we can isolate it by subtracting 12x from both sides:
12x + 10y - 12x = 156 - 12x
10y = 156 - 12x.
6. Finally, to solve for x, we can substitute the value we found for y into one of the original equations and solve for x.