Solve -45x-2y=0,13=-9y-11x

Question

Solve the system of equations

Solve using the substitution method

Solve using the elimination method

Solve using the Gauss-Jordan method

(x, y) = (\frac{26}{383}, - \frac{585}{383})

Alternative Form

(x, y) \approx (0.067885, - 1.527415)

Evaluate

{- 45 x - 2 y = 0 13 = - 9 y - 11 x

Solve the equation for x

More Steps

{x = - \frac{2 y}{45} 13 = - 9 y - 11 x

Substitute the given value of x into the equation 13 = - 9 y - 11 x

13 = - 9 y - 11 (- \frac{2 y}{45})

Multiply the terms

More Steps

13 = - 9 y + \frac{22 y}{45}

Swap the sides of the equation

- 9 y + \frac{22 y}{45} = 13

Multiply both sides of the equation by LCD

(- 9 y + \frac{22 y}{45}) \times 45 = 13 \times 45

Simplify the equation

More Steps

- 383 y = 13 \times 45

Simplify the equation

- 383 y = 585

Change the signs on both sides of the equation

383 y = - 585

Divide both sides

\frac{383 y}{383} = \frac{- 585}{383}

Divide the numbers

y = \frac{- 585}{383}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

y = - \frac{585}{383}

Substitute the given value of y into the equation x = - \frac{2 y}{45}

x = - \frac{2 ( - \frac{585}{383} )}{45}

Simplify the expression

x = \frac{2 \times \frac{585}{383}}{45}

Calculate

x = \frac{26}{383}

Calculate

{x = \frac{26}{383} y = - \frac{585}{383}

Check the solution

More Steps

{x = \frac{26}{383} y = - \frac{585}{383}

Solution

(x, y) = (\frac{26}{383}, - \frac{585}{383})

Alternative Form

(x, y) \approx (0.067885, - 1.527415)

Show Solution

Neither parallel nor perpendicular

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