1. Choose the best method to solve by looking at the way the equations are set up for you:
The best method to solve this system of equations is the method of elimination.
2. Using the best method, how could you get the x variables to cancel out?
To cancel out the x variables, you can multiply the first equation by 2 and the second equation by 3. This will make the coefficients of x in both equations equal.
3. After you complete step 2, what would your top equation be?
The top equation would be: 6x + 8y = 96.
4. Line them up and add the equations together to get this equation.
6x + 8y = 96 (from step 3)
+ 6x + 2y = 60
Adding the equations together, we get:
12x + 10y = 156
5. Solve for y.
To solve for y, we need to isolate y on one side of the equation. Subtracting 12x from both sides, we get:
10y = 156 - 12x
Dividing both sides by 10, we get:
y = (156 - 12x) / 10
6. Solve for x.
To solve for x, we can substitute the value of y from step 5 into any of the original equations. Let's substitute it into the second equation:
6x + 2((156 - 12x) / 10) = 60
Simplifying the equation, we get:
6x + (312 - 24x) / 10 = 60
Multiplying both sides by 10 to eliminate the fraction, we get:
60x + 312 - 24x = 600
Combining like terms, we get:
36x + 312 = 600
Subtracting 312 from both sides, we get:
36x = 288
Dividing both sides by 36, we get:
x = 8
So the solution to the system of equations is x = 8 and y = (156 - 12(8)) / 10, which simplifies to y = 3.
To solve this system, you could do the following steps: 3x+4y=48 6x+2y=60 (6 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. 1. Choose the best method to solve by looking at the way the equations are set up for you: Response area 2. Using the best method, how could you get the x variables to cancel out? Response area 3. After you complete step 2, what would your top equation be? Response area 4. Line them up and add the equations together to get this equation. Response area 5. Solve for y. Response area 6. Solve for x. Response area
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