Solve 4/5 = 3/2r - ScanMath

Evaluate

\frac{4}{5} = \frac{3}{2} r

Multiply both sides of the equation by LCD

\frac{4}{5} \times 10 = \frac{3}{2} r \times 10

Simplify the equation

More Steps

8 = \frac{3}{2} r \times 10

Simplify the equation

More Steps

8 = 15 r

Rewrite the expression

- 15 r = - 8

Divide both sides of the equation by - 1

15 r = 8

Square both sides of the equation

(15 r)^{2} = 8^{2}

Evaluate

225 r^{2} = 8^{2}

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

225 (x^{2} + y^{2}) = 8^{2}

Evaluate the power

225 (x^{2} + y^{2}) = 64

Solution

225 x^{2} + 225 y^{2} = 64

Solve the equation