Question

Essential: Solve the proportions
step by step ​

Answer 1

The value of r=
`(-106)/(47)`

The value of x=
`(83)/(32)`

Explanation:

Given that,

A)
`(2r-2)/(7r+10) = (9)/(8)`

Now,

`(2r-2)/(7r+10) = (9)/(8)`

8(2r-2)=9(7r+10)

16r-16=63r+90

-16-90=63r-16r

-(16+90)=47r

-106=47r

r=
`(-106)/(47)`

B)
`(x+4)/(9) = (3(x-2)-1)/(5)`

Now,

`(x+4)/(9) = (3(x-2)-1)/(5)`

5(x+5)=9[3(x-2)-1]

5x+25=9[3x-6-1]

5x+25=9[3x-7]

5x+25=27x-63

25+63=27x+5x

83=32x

x=
`(83)/(32)`