1. Choose the best method to solve by looking at the way the equations are set up for you: Elimination
2. Using the best method, how could you get the x variables to cancel out? Multiply the top equation by -2 and the bottom equation by 3.
3. After you complete step 2, what would your top equation be? -6x - 8y = -96
4. Line them up and add the equations together to get this equation. -6x + 4y = 96
5. Solve for y. y = 12
6. Solve for x. Substitute the value of y in one of the original equations.
3x + 4(12) = 48
3x + 48 = 48
3x = 0
x = 0
Solution: x = 0, y = 12
To solve this system, you could do the following steps:%0D%0A%0D%0A3x+4y=48%0D%0A3%0D%0A%0D%0A+%0D%0A4%0D%0A%0D%0A=%0D%0A48%0D%0A %0D%0A6x+2y=60%0D%0A6%0D%0A%0D%0A+%0D%0A2%0D%0A%0D%0A=%0D%0A60%0D%0A (6 points)%0D%0APut 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.%0D%0A1. Choose the best method to solve by looking at the way the equations are set up for you: Response area%0D%0A%0D%0A2. Using the best method, how could you get the x variables to cancel out? Response area%0D%0A%0D%0A3. After you complete step 2, what would your top equation be? Response area%0D%0A%0D%0A4. Line them up and add the equations together to get this equation. Response area%0D%0A%0D%0A5. Solve for y. Response area%0D%0A%0D%0A6. Solve for x. Response area%0D%0A%0D%0AChoose a method%0D%0AGraphingEliminationSubstitution%0D%0AOperation to get the x variables to cancel%0D%0AMultiply the top equation x -2Multiply the bottom equation x 2Divide the bottom equation by 2Divide the top equation by 4%0D%0ASimplified top equation%0D%0A-6x - 8y = -96x + 2y = 46-6x + 4y = 963x + y = 30%0D%0AAfter adding the equations%0D%0A6y = -96-6y = -368y = 96-8y = -96%0D%0ASolve for x and y
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