Solve x y=5;x^2y=7

Evaluate

{x y = 5 x^{2} y = 7

Solve the equation for x

More Steps

{x = \frac{5}{y} x^{2} y = 7

Substitute the given value of x into the equation x^{2} y = 7

(\frac{5}{y})^{2} y = 7

Simplify

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\frac{25}{y} = 7

Cross multiply

25 = y \times 7

Simplify the equation

25 = 7 y

Swap the sides of the equation

7 y = 25

Divide both sides

\frac{7 y}{7} = \frac{25}{7}

Divide the numbers

y = \frac{25}{7}

Substitute the given value of y into the equation x = \frac{5}{y}

x = \frac{5}{\frac{25}{7}}

Calculate

x = \frac{7}{5}

Calculate

{x = \frac{7}{5} y = \frac{25}{7}

Check the solution

More Steps

{x = \frac{7}{5} y = \frac{25}{7}

Solution

(x, y) = (\frac{7}{5}, \frac{25}{7})

Alternative Form

(x, y) = (1.4, 3. \dot{5} 7142 \dot{8})

Solve the system of equations