Question

Essential: Solve the proportions step by step ​

Answer 1

Answer:

The value of r=$\frac{-106}{47}$

The value of x=$\frac{83}{32}$

Step-by-step explanation:

Given that,

A) $\frac{2r-2}{7r+10} = \frac{9}{8}$

Now,

$\frac{2r-2}{7r+10} = \frac{9}{8}$

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

16r-16=63r+90

-16-90=63r-16r

-(16+90)=47r

-106=47r

r=$\frac{-106}{47}$

B) $\frac{x+4}{9} = \frac{3(x-2)-1}{5}$

Now,

$\frac{x+4}{9} = \frac{3(x-2)-1}{5}$

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=$\frac{83}{32}$