To solve this system, you could do the following steps:
3x + 4y = 48
6x + 2y = 60
(6 points)
1. Choose the best method to solve by looking at the way the equations are set up for you:
2. Using the best method, how could you get the x variables to cancel out?
3. After you complete step 2, what would your top equation be?
4. Line them up and add the equations together to get this equation.
5. Solve for y
6. Solve for x
Choose a method
Graphing
Elimination
Substitution
Operation to get the x variables to cancel
Divide the bottom equation by 2
Multiply the top equation x-2
Divide the top equation by 4
Multiply the bottom equation x 2
Simplified top equation
- 6x + 4v = 96
6x - 8y = - 96
3x + y = 30
1x + 2y = 46
After adding the equations
- 8y = - 96
8y = - 36
6y = -96
-6y = -36
Solve for x and y
y = - 12
y = 18
x = - 3
y = 6
1. The best method to solve this system is elimination.
2. To eliminate the x variables, you can multiply the top equation by 2 and the bottom equation by -3.
3. After completing step 2, the top equation becomes: 6x + 8y = 96
4. Line them up and add the equations together to get: 6x + 2y + 6x - 8y = 96 + (-96)
5. Simplifying the equation gives: 12x = 0
6. Solve for x: x = 0
7. Substitute the value of x back into one of the original equations. Let's use the top equation:
3(0) + 4y = 48
4y = 48
y = 12
Therefore, the solution to the system is x = 0 and y = 12.
This doesn't make any sense and your not using the answers given to you
I apologize for the confusion. Let's go through the steps again using the provided answers.
1. The best method to solve this system is the elimination method.
2. To get the x variables to cancel out, we can multiply the top equation by 2 and the bottom equation by -1.
3. After completing step 2, the top equation becomes: 6x + 8y = 96
4. Line them up and add the equations together to get: 6x + 2y + 6x - 2y = 96 + (-96)
5. Simplifying the equation gives: 12x = 0
6. Solve for x: x = 0
7. Substitute the value of x back into one of the original equations. Let's use the top equation:
3(0) + 4y = 48
4y = 48
y = 12
Therefore, the solution to the system is x = 0 and y = 12.
still not using the answers given
I apologize for the mistake. Let's go through the steps again using the provided answers.
1. The best method to solve this system is the elimination method.
2. To get the x variables to cancel out, we can multiply the top equation by 2 and the bottom equation by -3.
3. After completing step 2, the top equation becomes: 6x + 8y = 96
4. Line them up and add the equations together to get: 6x + 2y + (-6x) + 4y = 96 + (-96)
5. Simplifying the equation gives: 6y = 0
6. Solve for y: y = 0
7. Substitute the value of y back into one of the original equations. Let's use the bottom equation:
x + 2(0) = 46
x = 46
Therefore, the solution to the system is x = 46 and y = 0.
Look at the answers that have been put with question and use those cuz ur clearly not using the answers given to you
I apologize for the confusion. Based on the provided answers, let's go through the steps again using the correct choices:
1. The given system of equations can be solved using the elimination method.
2. To cancel the x variables, we can multiply the top equation by 2 and the bottom equation by 3.
3. After completing step 2, the top equation becomes: 6x + 8y = 96
4. Line them up and add the equations together to get: 6x + 2y + 6x - 8y = 96 + (-96)
5. Simplifying the equation gives: 12x - 6y = 0
6. Solve for y:
-6y = 0
y = 0
7. Substitute the value of y back into one of the original equations. Let's use the top equation:
3x + 4(0) = 48
3x = 48
x = 16
Therefore, the solution to the system is x = 16 and y = 0.