Solve -3/5r = 7 1/2

Evaluate

- \frac{3}{5} r = 7 \frac{1}{2}

Evaluate

More Steps

- \frac{3}{5} r = \frac{15}{2}

Multiply both sides of the equation by LCD

- \frac{3}{5} r \times 10 = \frac{15}{2} \times 10

Simplify the equation

More Steps

- 6 r = \frac{15}{2} \times 10

Simplify the equation

More Steps

- 6 r = 75

Divide both sides of the equation by - 3

2 r = - 25

Square both sides of the equation

(2 r)^{2} = (- 25)^{2}

Evaluate

4 r^{2} = (- 25)^{2}

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

4 (x^{2} + y^{2}) = (- 25)^{2}

Evaluate the power

4 (x^{2} + y^{2}) = 625

Solution

4 x^{2} + 4 y^{2} = 625

Solve the equation