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.
The correct option to solve the given system of equations is elimination.
To get the x variables to cancel out, you would multiply the top equation by 2 and the bottom equation by -3.
After multiplying the top equation by 2, your top equation would become: 6x + 8y = 96.
When adding the equations together, the correct equation would be: -6x + 8y = -96.
Choose the best method to solve by looking at the way the equations are set up for you: elimination.
To get the x variables to cancel out, you can multiply the top equation by -2.
After you complete step 2, your top equation would be -6x - 8y = -96.
Line them up and add the equations together to get: -6 + 3x + 8y = -36.
The correct method to solve the given system of equations is elimination.
To cancel out the x variables, you can multiply the top equation by 2 and the bottom equation by -3. This will give us:
6x + 8y = 92 (multiplied top equation by 2)
-6x - 6y = -180 (multiplied bottom equation by -3)
Adding these equations together eliminates the x variables:
2y = -88
After completing step 2, the top equation would be: 6x + 8y = 92.
For the last question, adding the equations together would yield:
0 = -88, 2y = -84, 0 = -276, 0 = -192.
However, the result 0 = -88 is not correct. It appears that there was an error in the previous steps. Let's go through the elimination process again:
Starting with the original equations:
3x + 4y = 48
6x + 2y = 60
To cancel out the x variables, you can multiply the top equation by -2 and the bottom equation by 3:
-6x - 8y = -96 (multiplied top equation by -2)
18x + 6y = 180 (multiplied bottom equation by 3)
Adding these equations together eliminates the x variables:
-2y = 84
So, the correct answer would be -2y = 84.