To add the equations together, align like terms so that the coefficients of x and y are lined up:
3x + 4y = 48
6x + 2y = 60
Adding the equations together, we get:
(3x + 6x) + (4y + 2y) = 48 + 60
9x + 6y = 108
So, the resulting equation is 9x + 6y = 108.
Therefore, the answer is not listed in the options provided.
3x+4y=48
6x+2y=60
line them up and add the equations together to get what equation?
A. x-6y = -36
B. -8y=-96
C. 8y=96
D. 6y=-96
3 answers
3x+4y=48
6x+2y=60
line them up and add the equations together to get what equation?
A. -6y = -36
B. -8y=-96
C. 8y=96
D. 6y=-96
6x+2y=60
line them up and add the equations together to get what equation?
A. -6y = -36
B. -8y=-96
C. 8y=96
D. 6y=-96
To line up and add the equations together, we can multiply the first equation by 2 and the second equation by -3 to make the coefficients of x the same:
2(3x + 4y) = 2(48) -> 6x + 8y = 96
-3(6x + 2y) = -3(60) -> -18x - 6y = -180
Adding these two equations together, we get:
(6x - 18x) + (8y - 6y) = 96 - 180
-12x + 2y = -84
So, the resulting equation is -12x + 2y = -84.
Multiplying this equation by -1/2, we can rewrite it as:
(1/2)(-12x + 2y) = (1/2)(-84)
-6x + y = -42
So, the correct equation obtained by adding the given equations together is:
-6x + y = -42
Therefore, the answer is not listed in the options provided.
2(3x + 4y) = 2(48) -> 6x + 8y = 96
-3(6x + 2y) = -3(60) -> -18x - 6y = -180
Adding these two equations together, we get:
(6x - 18x) + (8y - 6y) = 96 - 180
-12x + 2y = -84
So, the resulting equation is -12x + 2y = -84.
Multiplying this equation by -1/2, we can rewrite it as:
(1/2)(-12x + 2y) = (1/2)(-84)
-6x + y = -42
So, the correct equation obtained by adding the given equations together is:
-6x + y = -42
Therefore, the answer is not listed in the options provided.