To solve this system, you could do the following steps:
3x+4y=48
6x+2y=60
1. Choose the best method to solve by looking at the way the equations are set up for you: elimination, substitution or graphing.
2. Using the best method, how could you get the x variables to cancel out?
divide the top equation by 4, multiply the bottom equation by x 2. divide the bottom equation by 2, multiply the top equation by x -2
3. After you complete step 2, what would your top equation be? Response area
x+2y=46, -6x+4y=96, 3x+y=30-6x-8y=-96
4. Line them up and add the equations together to get this equation. Response area
-6y=-36, 8y=96, -8y=-96, 6y=-96
5. Solve for y. Response area
y=-12, y=6, y=18
6. Solve for x. Response area
x=8, x=6, x=-3
To solve this system of equations, you would need to use the method of elimination.
To eliminate the x variables, you can multiply the top equation by -2 and the bottom equation by 3, then add them together.
After completing step 2, the top equation would be -6x - 8y = -96.
When you line up and add the equations, you would get -3y = -48.
Solving for y, you would get y = 16.
Substituting this value back into either of the original equations, you would find the value of x.
When you line up and add the equations, you would get -3y = -48.
this was not one of the options
Apologies for the confusion. Let's go through the steps again.
1. The best method to solve this system is elimination because the coefficients of either x or y can easily be multiplied to make the variables cancel out.
2. To get the x variables to cancel out, we can multiply the top equation by -2 and the bottom equation by 3. This results in:
-6x - 8y = -96
18x + 6y = 180
3. When we line up and add the equations, we get:
-6x - 8y + 18x + 6y = -96 + 180
12x - 2y = 84
4. We now have the equation 12x - 2y = 84.
5. To solve for y, we can isolate y by subtracting 12x from both sides:
-2y = -12x + 84
y = 6x - 42
6. To solve for x, we substitute the expression for y into one of the original equations. Let's use the first equation:
3x + 4(6x - 42) = 48
3x + 24x - 168 = 48
27x = 216
x = 8
7. Finally, we substitute the value of x back into either of the original equations to solve for y. Let's use the second equation:
6(8) + 2y = 60
48 + 2y = 60
2y = 12
y = 6
Therefore, the solution to the given system of equations is x = 8 and y = 6.
4. Line them up and add the equations together to get this equation. Response area
-6y=-36
8y=96
-8y=-96,
6y=-96
and again these are the only options for step 4
Apologies for the confusion. Let's try to align and add the equations again.
When you line up and add the equations, you would get:
3x + 4y = 48
+ (-6x - 2y = -60)
---------------------
-3x + 2y = -12
So the correct equation after adding them together is -3x + 2y = -12.
Please let me know if you have any further questions.
Apologies for the confusion. Let's try to align and add the equations again.
When you line up and add the equations, you would get:
3x + 4y = 48
+ (-6x - 2y = -60)
---------------------
-3x + 2y = -12
So the correct equation after adding them together is -3x + 2y = -12.
Please let me know if you have any further questions.
yes this equation is not an option.
its either. -6y=-36, 8y=96, -8y=-96, 6y=-96
Apologies for the confusion. Let's try to align and add the equations again.
When you line up and add the equations, you would get:
3x + 4y = 48
+ (-6x - 2y = -60)
---------------------
-3x + 2y = -12
So the correct equation after adding them together is -3x + 2y = -12.
-3x + 2y = -12 is not one of the provided options. Based on the given options, the correct equation after adding the equations together is -6y = -36.
Apologies for the incorrect response in the previous message. The correct line-up and addition of the equations result in -6y = -36.
Please let me know if you have any further questions.