What is the answer to (4r-6)/(r-7)= 1/2 ?

The answer to (4r-6)/(r-7)= 1/2 is r= 5/7

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(4r-6)/(r-7)= 1/2

\frac{4 r - 6}{r - 7} = \frac{1}{2}

r = \frac{5}{7}

Decimal Notation

r = 0.71428 \dots

Solution steps

\frac{4 r - 6}{r - 7} = \frac{1}{2}

Cross multiply

8 r - 12 = r - 7

Move

12

to the right side

8 r = r + 5

Move

r

to the left side

7 r = 5

Divide both sides by

7

r = \frac{5}{7}

Verify Solutions

Find undefined (singularity) points:

r = 7

Combine undefined points with solutions:

r = \frac{5}{7}

\frac{x ^{2} - 4}{x + 2} = 7 x

\frac{a x + b}{c x + d} = 4

t, a = \frac{f - s}{t}

\frac{2}{x + 1} = \frac{3}{x - 1}

\frac{3}{4} = \frac{x + 1}{x + 2}

What is the answer to (4r-6)/(r-7)= 1/2 ?
The answer to (4r-6)/(r-7)= 1/2 is r= 5/7
Solve for r: (4r-6)/(r-7)= 1/2
The solution is r= 5/7