How to solve y - 4 = 5(x - 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 = 5(x - 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

$$y-4=5(x-2)$$

Solve for x

$x=\frac{y+6}{5}$

Steps for Solving Linear Equation

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

$$y-4=5x-10$$

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

$$5x-10=y-4$$

Add $10$ to both sides.

$$5x=y-4+10$$

Add $-4$ and $10$ to get $6$.

$$5x=y+6$$

Divide both sides by $5$.

$$\frac{5x}{5}=\frac{y+6}{5}$$

Dividing by $5$ undoes the multiplication by $5$.

$$x=\frac{y+6}{5}$$

Show Solution

Solve for y

$y=5x-6$

Solution Steps

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

$$y-4=5x-10$$

Add $4$ to both sides.

$$y=5x-10+4$$

Add $-10$ and $4$ to get $-6$.

$$y=5x-6$$

Show Solution

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