To solve this system, you could do the following steps:
3х + 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
Substitution
Graphing
Elimination
Operation to get the x variables to cancel
Divide the bottom equation by 2
Divide the top equation by 4
Multiply the bottom equation × 2
Multiply the top equation × -2
Simplified top equation
-6x + 4y = 96
3x+y=30
x + 2v = 46
-6x - 8y = -96
After adding the equations
-8y = -96
-6у = -36
6у = -96
8y = 96
Solve for x and y
x= 8
x= -3
y= 6
y= -12
y = 18
x = 6
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 -8y = -96 + 6x +4y = 48 = -4y = -48
5. Solve for y. y = 12
6. Solve for x. Substitute the value of y into either of the original equations. Using the first equation: 3x + 4(12) = 48, 3x + 48 = 48, 3x = 0, x = 0
The solutions to the system of equations are x = 0 and y = 12.
1. To solve this system of equations, we have three options: substitution, graphing, or elimination. Let's choose the best method based on the way the equations are set up for us. By looking at the equations, we can see that the coefficients of the x variables in both equations are different. This suggests that elimination might be a suitable method to use.
2. Since we are using the elimination method, our goal is to get the x variables to cancel out when adding or subtracting the equations. To do this, we need to adjust one or both of the equations so that the coefficients of the x variables become opposites or multiples of each other. Let's choose an operation that would help us achieve this. From the given options, we can see that multiplying the bottom equation by 2 would make the coefficients of the x terms multiples of each other.
3. After carrying out the multiplication, the top equation becomes -6x + 4y = 96.
4. Now, let's line up the two equations and add them together to eliminate the x variable: (-6x + 4y) + (6x + 2y) = 96 + 60. When we combine the x terms, they cancel out, leaving us with: 6y = 156.
5. To solve for y, we divide both sides of the equation by 6: y = 26.
6. Finally, we substitute the value of y back into one of the original equations to solve for x. Let's use the first equation: 3x + 4(26) = 48. Simplifying this equation gives us: 3x + 104 = 48. We then isolate the x variable by subtracting 104 from both sides: 3x = -56. Dividing both sides by 3, we find that x = -56/3 or x = -18.67.
So, the solution to the system of equations is x = -18.67 and y = 26.
1. The best method to solve this system is elimination.
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 + 4y = 96.
4. Line them up and add the equations together to get the equation -6x + 4y + 3x + y = 96 + 30, which simplifies to -3x + 5y = 126.
5. Solve for y by equating -3x + 5y = 126 to 0, which gives us 5y = 3x + 126.
6. Solve for x by substituting the value of y into one of the original equations. For example, using the first equation, we can substitute 3x + 4y = 48 into 3x + 4(3x + 126)/5 = 48. Solving this equation will give us the value of x.
You’re wrong, only use the answers I listed to answer the questions
I apologize for the mistakes. Let's use the answers you listed to answer the questions correctly.
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 + 4y = 96
4. Line them up and add the equations together to get this equation: -6x + 4y + 6x + 2y = 96 + 60
5. Solve for y: -8y = 156, y = -19.5
6. Solve for x: Using the first equation, substitute the value of y: 3x + 4(-19.5) = 48, 3x - 78 = 48, 3x = 126, x = 42
So the solution to the system of equations is x = 42 and y = -19.5.
Answer 4 is wrong
Apologies for the mistake. Let's correct the answer for question 4.
4. Line them up and add the equations together to get this equation: -6x + 4y + 6x + 2y = 96 + 60. Simplifying the equation gives -6x + 6x + 4y + 2y = 156. Combining like terms, we get 6y = 156.
Please note that the correct answer for question 4 is 6y = 156.