Solve 2x^3x = 8 x - y =5

Question

Solve the system of equations

Solve using the substitution method

Solve using the elimination method

(x_{1}, y_{1}) = (- \frac{4 40}{2}, - 5 - 4440) (x_{2}, y_{2}) = (\frac{4 40}{2}, - 5 + 4440)

Evaluate

{2 x^{3} \times x = 8 x - y 8 x - y = 5

Calculate

More Steps

{2 x^{4} = 8 x - y 8 x - y = 5

Solve the equation for y

More Steps

{2 x^{4} = 8 x - y y = - 5 + 8 x

Substitute the given value of y into the equation 2 x^{4} = 8 x - y

2 x^{4} = 8 x - (- 5 + 8 x)

Simplify

More Steps

2 x^{4} = 5

Divide both sides

\frac{2 x ^{4}}{2} = \frac{5}{2}

Divide the numbers

x^{4} = \frac{5}{2}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 4 \frac{5}{2}

Simplify the expression

More Steps

x = \pm \frac{4 40}{2}

Separate the equation into 2 possible cases

x = \frac{4 40}{2} \cup x = - \frac{4 40}{2}

Rearrange the terms

{x = \frac{4 40}{2} y = - 5 + 8 x \cup {x = - \frac{4 40}{2} y = - 5 + 8 x

Calculate

More Steps

{x = \frac{4 40}{2} y = - 5 + 4440 \cup {x = - \frac{4 40}{2} y = - 5 + 8 x

Calculate

More Steps

{x = \frac{4 40}{2} y = - 5 + 4440 \cup {x = - \frac{4 40}{2} y = - 5 - 4440

Calculate

{x = - \frac{4 40}{2} y = - 5 - 4440 \cup {x = \frac{4 40}{2} y = - 5 + 4440

Check the solution

More Steps

{x = - \frac{4 40}{2} y = - 5 - 4440 \cup {x = \frac{4 40}{2} y = - 5 + 4440

Check the solution

More Steps

{x = - \frac{4 40}{2} y = - 5 - 4440 \cup {x = \frac{4 40}{2} y = - 5 + 4440

Solution

(x_{1}, y_{1}) = (- \frac{4 40}{2}, - 5 - 4440) (x_{2}, y_{2}) = (\frac{4 40}{2}, - 5 + 4440)

Show Solution