Solve x y=6; x^2y=8

Evaluate

{x y = 6 x^{2} y = 8

Solve the equation for x

More Steps

{x = \frac{6}{y} x^{2} y = 8

Substitute the given value of x into the equation x^{2} y = 8

(\frac{6}{y})^{2} y = 8

Simplify

More Steps

\frac{36}{y} = 8

Cross multiply

36 = y \times 8

Simplify the equation

36 = 8 y

Rewrite the expression

4 \times 9 = 4 \times 2 y

Evaluate

9 = 2 y

Swap the sides of the equation

2 y = 9

Divide both sides

\frac{2 y}{2} = \frac{9}{2}

Divide the numbers

y = \frac{9}{2}

Substitute the given value of y into the equation x = \frac{6}{y}

x = \frac{6}{\frac{9}{2}}

Calculate

x = \frac{4}{3}

Calculate

{x = \frac{4}{3} y = \frac{9}{2}

Check the solution

More Steps

{x = \frac{4}{3} y = \frac{9}{2}

Solution

(x, y) = (\frac{4}{3}, \frac{9}{2})

Alternative Form

(x, y) = (1. \dot{3}, 4.5)

Solve the system of equations