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 compolete 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. The best method to solve this particular system of equations is substitution.
2. To get the x variables to cancel out, we can multiply the first equation by -2 and the second equation by 3. This will make the coefficients of the x terms the same.
3. After completing step 2, the top equation would be: -6x - 8y = -96.
4. Line up the two equations:
-6x - 8y = -96
6x + 2y = 60
Adding the equations together, we get: -6x - 8y + 6x + 2y = -96 + 60
-6y = -36
5. Solve for y by dividing both sides of the equation by -6: -6y / -6 = -36 / -6
y = 6
6. Substitute the value of y back into one of the original equations to solve for x. Let's use the first equation:
3x + 4(6) = 48
3x + 24 = 48
3x = 48 - 24
3x = 24
Solve for x by dividing both sides of the equation by 3: 3x / 3 = 24 / 3
x = 8
Therefore, the solution for this system of equations is x = 8 and y = 6.