Question

How do you solve `\frac { r - 8} { - 2} = \frac { 11- 4r } { 11}`?

Answer 1

r = 22

Explanation:

First, you multiply both sides by 22 to get rid of the denominator.

`(r-8)/-2=(11-4r)/11 ->`

`22*(r-8)/-2=22*(11-4r)/11 ->`

`-11(r-8)=2(11-4r)`

Next, you want to expand both sides of the equation.

`-11(r-8)=2(11-4r) ->`

`-11r+88=22-8r`

Then you want to put like terms together.

`-11r+88=22-8r ->`

`-11r+88-22+11r=22-8r-22+11r ->`

`66=3r`

Finally, solve for r.

`66=3r ->`

`66/3=(3r/3) ->`

`22=r`

If you have time, you can double check to make sure your answer makes sense by pugging it the value for r.

`(22-8)/-2=(11-4(22))/11 ->`

`(14)/-2=(11-88)/11 ->`

`(14)/-2=(-77)/11 ->`

`-7=-7` Which is a true statement, so `r=22` is correct.