Solve 2x - 2(x + 5xy) + 2y + 0 = 5 - 2y - 95xyz + 25y | 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

$$2x-2(x+5xy)+2y-0=5-2y-95xyz+25y$$

Solve for x

$\left\{\begin{matrix}x=\frac{21y+5}{5y\left(19z-2\right)}\text{, }&z\neq \frac{2}{19}\text{ and }y\neq 0\\x\in \mathrm{R}\text{, }&y=-\frac{5}{21}\text{ and }z=\frac{2}{19}\end{matrix}\right.$

Steps for Solving Linear Equation

Use the distributive property to multiply $-2$ by $x+5xy$.

$$2x-2x-10xy+2y-0=5-2y-95xyz+25y$$

Combine $2x$ and $-2x$ to get $0$.

$$-10xy+2y-0=5-2y-95xyz+25y$$

Combine $-2y$ and $25y$ to get $23y$.

$$-10xy+2y-0=5+23y-95xyz$$

Add $95xyz$ to both sides.

$$-10xy+2y-0+95xyz=5+23y$$

Reorder the terms.

$$95xyz-10xy+2y=23y+5$$

Subtract $2y$ from both sides.

$$95xyz-10xy=23y+5-2y$$

Combine $23y$ and $-2y$ to get $21y$.

$$95xyz-10xy=21y+5$$

Combine all terms containing $x$.

$$\left(95yz-10y\right)x=21y+5$$

Divide both sides by $95yz-10y$.

$$\frac{\left(95yz-10y\right)x}{95yz-10y}=\frac{21y+5}{95yz-10y}$$

Dividing by $95yz-10y$ undoes the multiplication by $95yz-10y$.

$$x=\frac{21y+5}{95yz-10y}$$

Divide $21y+5$ by $95yz-10y$.

$$x=\frac{21y+5}{5y\left(19z-2\right)}$$

Solve for y

$y=\frac{5}{95xz-10x-21}$
$z=\frac{2}{19}\text{ or }x\neq \frac{21}{5\left(19z-2\right)}$

Steps for Solving Linear Equation

Use the distributive property to multiply $-2$ by $x+5xy$.

$$2x-2x-10xy+2y-0=5-2y-95xyz+25y$$

Combine $2x$ and $-2x$ to get $0$.

$$-10xy+2y-0=5-2y-95xyz+25y$$

Combine $-2y$ and $25y$ to get $23y$.

$$-10xy+2y-0=5+23y-95xyz$$

Subtract $23y$ from both sides.

$$-10xy+2y-0-23y=5-95xyz$$

Add $95xyz$ to both sides.

$$-10xy+2y-0-23y+95xyz=5$$

Reorder the terms.

$$95xyz-10xy-23y+2y=5$$

Combine $-23y$ and $2y$ to get $-21y$.

$$95xyz-10xy-21y=5$$

Combine all terms containing $y$.

$$\left(95xz-10x-21\right)y=5$$

Divide both sides by $-10x-21+95xz$.

$$\frac{\left(95xz-10x-21\right)y}{95xz-10x-21}=\frac{5}{95xz-10x-21}$$

Dividing by $-10x-21+95xz$ undoes the multiplication by $-10x-21+95xz$.

$$y=\frac{5}{95xz-10x-21}$$