Solve y + 4 = 2; x * y ^ 2 = 4 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\begin{cases}y+4=2\\ xy^{2}=4\end{cases}$$

Solve for y, x

$x=1$
$y=-2$

Solution Steps

Consider the first equation. Subtract $4$ from both sides.

$$y=2-4$$

Subtract $4$ from $2$ to get $-2$.

$$y=-2$$

Consider the second equation. Insert the known values of variables into the equation.

$$x\left(-2\right)^{2}=4$$

Calculate $-2$ to the power of $2$ and get $4$.

$$x\times 4=4$$

Divide both sides by $4$.

$$x=\frac{4}{4}$$

Divide $4$ by $4$ to get $1$.

$$x=1$$

The system is now solved.

$$y=-2$$ $$x=1$$