Solve 7/8=1/2r - ScanMath

Evaluate

\frac{7}{8} = \frac{1}{2} r

Multiply both sides of the equation by LCD

\frac{7}{8} \times 8 = \frac{1}{2} r \times 8

Simplify the equation

7 = \frac{1}{2} r \times 8

Simplify the equation

More Steps

7 = 4 r

Rewrite the expression

- 4 r = - 7

Divide both sides of the equation by - 1

4 r = 7

Square both sides of the equation

(4 r)^{2} = 7^{2}

Evaluate

16 r^{2} = 7^{2}

To covert the equation to rectangular coordinates using conversion formulas,substitute x^{2} + y^{2} for r^{2}

16 (x^{2} + y^{2}) = 7^{2}

Evaluate the power

16 (x^{2} + y^{2}) = 49

Solution

16 x^{2} + 16 y^{2} = 49

Solve the equation