1. The best method to solve this system of equations is elimination method.
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 step 2, the top equation will be: 6x + 8y = 96.
4. Adding the two equations together, we get: (6x + 8y) + (6x + 2y) = 96 + 60, which simplifies to 12x + 10y = 156.
5. To solve for y, we can isolate y in the equation 12x + 10y = 156. Subtracting 12x from both sides, we get 10y = 156 - 12x. Dividing both sides by 10, we have y = (156 - 12x)/10, which can be further simplified if needed.
6. To solve for x, we need to substitute the value of y into either of the original equations. Let's substitute y = (156 - 12x)/10 into the first equation 3x + 4y = 48. This gives us 3x + 4((156 - 12x)/10) = 48. Simplifying and solving for x will give us the value of x.
To solve this system, you could do the following steps:
3х + 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: _
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