3x + 4y = 48
6x + 2y = 60
Select the correct option for each question
Choose the best method to solve by looking at the way the equations are set up for you: graphing, elimination, substitution
Using the best method, how could you get the x variables to cancel out? Divide the bottom equation by 2. Divide the top equation by 4.Multiply the top equation x -2.Multiply the bottom equation x -2.
After you complete step 2, what would your top equation be?
x + 2y = 46. -6x + 4y = 96. -6x - 8y = -96. 3x + y = 30.
Line them up and add the equations together to get: -6 = -36, 8y = 96. 6y = -96. -8y = -96.
-8y = -96
Line them up and add the equations together to get: -6 = -36, 8y = 96.
To solve the system of equations:
1. Choose the best method based on how the equations are set up. In this case, elimination would be the best method since the coefficients of one variable can be easily made equal or opposite by multiplying or adding the equations.
2. To cancel out the x variables, you should multiply the top equation by -2 and the bottom equation by 4. This will make the coefficients of x in both equations equal and opposite.
3. After multiplying, the top equation becomes -6x - 8y = -96 and the bottom equation remains unchanged (3x + 4y = 48).
4. Line up the equations and add them together term by term. This will eliminate the x variable, resulting in 8y = -48.
Therefore, the correct option for the first question is: elimination.
And the correct option for the second question is: Multiply the top equation x -2.
And the last equation should be corrected to: -6x - 8y = -96.