Question

How do I eliminate the fractions in this equation?
7x/3+5y/4=4
5x/6-2y=21

Answer 1

multiply by the denominator. for example, 3*4= 12 will get rid of the 3 and the 4 in the first equation.

Answer 2

for the second one do i multiply the denominaotr by 6

Answer 3

yes, because 6* (3x/6)= 3x and the denominator is eliminated.

Answer 4

you should get
28x +15y= 48
5x -12y= 126

Answer 5

to solve, multiply the top equation by 4 and the bottom by 5
then add the two equations

Answer 6

why 4 and 5?

Answer 7

i got x=6

Answer 8

y=-8

Answer 9

I chose to get rid of y (you could choose x, it does not matter much)
to get rid of y, you want the same number (coefficient) in front of the y
the top y term is 15y 15 is 3*5
bottom y term is -12y 12 is 3*4
least common multiple is 3*4*5= 60. we want both terms to have a 60 in front.
so 4 for the top , 5 for the bottom

Answer 10

yes, you can check by plugging those values into the original equations. But you did it correctly.

Answer 11

thank you!