Solve 2y + x = 2 + (5y + 2)/3 | 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

$$2y+x=2+\frac{5y+2}{3}$$

Solve for x

$x=\frac{8-y}{3}$

Steps for Solving Linear Equation

Multiply both sides of the equation by $3$.

$$6y+3x=6+5y+2$$

Add $6$ and $2$ to get $8$.

$$6y+3x=8+5y$$

Subtract $6y$ from both sides.

$$3x=8+5y-6y$$

Combine $5y$ and $-6y$ to get $-y$.

$$3x=8-y$$

Divide both sides by $3$.

$$\frac{3x}{3}=\frac{8-y}{3}$$

Dividing by $3$ undoes the multiplication by $3$.

$$x=\frac{8-y}{3}$$

Solve for y

$y=8-3x$

Solution Steps

Multiply both sides of the equation by $3$.

$$6y+3x=6+5y+2$$

Add $6$ and $2$ to get $8$.

$$6y+3x=8+5y$$

Subtract $5y$ from both sides.

$$6y+3x-5y=8$$

Combine $6y$ and $-5y$ to get $y$.

$$y+3x=8$$

Subtract $3x$ from both sides.

$$y=8-3x$$