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.
4. Line them up and add the equations together to get: -6 = -36, 8y = 96. 6y = -96. -8y = -96.
Line them up and add the equations together to get: 9x + 6y = 108. -6x + 4y = 96. 3x + y = 30. -2x - 2y = -24.
The correct answer is: Line them up and add the equations together to get: -6x + 6x + 8y - 8y = -36 + 96.
To solve the given system of equations, we can use the elimination method. Let's break down the steps:
Step 1: Determine the best method to solve the equations. Looking at the way the equations are set up, the elimination method seems appropriate.
Step 2: Cancel out the x variables. We can achieve this by multiplying the top equation by -2 and the bottom equation by 3. The resulting equations are:
-6x - 8y = -96 (top equation)
9x + 6y = 180 (bottom equation)
Step 3: Complete the elimination step by adding the two equations together. This gives us:
-6x - 8y + 9x + 6y = -96 + 180
3x - 2y = 84
So, after completing step 2, the updated top equation is 3x - 2y = 84.
Now let's address the options for the next step:
Option 1: -6 = -36, 8y = 96
Option 2: 6y = -96
Option 3: -8y = -96
None of the given options represents the correct result when adding the equations together. The correct next step would be to perform the addition operation on the left side of the equation and the right side of the equation separately.