How to solve y-4=(x+5)/(2)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve y-4=(x+5)/(2) | Equatix

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Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$y-4= \frac{ x+5 }{ 2 }$$

Solve for x

$x=2y-13$

Solution Steps

Multiply both sides of the equation by $2$.

$$2y-8=x+5$$

Swap sides so that all variable terms are on the left hand side.

$$x+5=2y-8$$

Subtract $5$ from both sides.

$$x=2y-8-5$$

Subtract $5$ from $-8$ to get $-13$.

$$x=2y-13$$

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Solve for y

$y=\frac{x+13}{2}$

Steps for Solving Linear Equation

Multiply both sides of the equation by $2$.

$$2y-8=x+5$$

Add $8$ to both sides.

$$2y=x+5+8$$

Add $5$ and $8$ to get $13$.

$$2y=x+13$$

Divide both sides by $2$.

$$\frac{2y}{2}=\frac{x+13}{2}$$

Dividing by $2$ undoes the multiplication by $2$.

$$y=\frac{x+13}{2}$$

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