Solve x=3y=-2x^4 - ScanMath

Question

Solve the system of equations

Solve using the substitution method

Solve using the elimination method

(x, y) = (0, 0)

Evaluate

{x = 3 y 3 y = - 2 x^{4}

Substitute the given value of x into the equation 3 y = - 2 x^{4}

3 y = - 2 (3 y)^{4}

Simplify

More Steps

3 y = - 162 y^{4}

Add or subtract both sides

3 y - (- 162 y^{4}) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

3 y + 162 y^{4} = 0

Factor the expression

3 y (1 + 54 y^{3}) = 0

Divide both sides

y (1 + 54 y^{3}) = 0

Separate the equation into 2 possible cases

y = 0 \cup 1 + 54 y^{3} = 0

Solve the equation

More Steps

y = 0 \cup y = - \frac{3 4}{6}

Rearrange the terms

{x = 3 y y = 0 \cup {x = 3 y y = - \frac{3 4}{6}

Calculate

More Steps

{x = 0 y = 0 \cup {x = 3 y y = - \frac{3 4}{6}

Calculate

More Steps

{x = 0 y = 0 \cup {x = - \frac{3 4}{2} y = - \frac{3 4}{6}

Calculate

{x = - \frac{3 4}{2} y = - \frac{3 4}{6} \cup {x = 0 y = 0

Check the solution

More Steps

{x = 0 y = 0

Check the solution

More Steps

{x = 0 y = 0

Solution

(x, y) = (0, 0)

Show Solution

Solve the system of equations

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