How to solve 3x-4y=y(1)

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 3x-4y=y(1) | Equatix

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$3x-4y=y(1)$$

Solve for x

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

Steps for Solving Linear Equation

Add $4y$ to both sides.

$$3x=y\times 1+4y$$

Combine $y\times 1$ and $4y$ to get $5y$.

$$3x=5y$$

Divide both sides by $3$.

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

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

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

Show Solution

Solve for y

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

Steps for Solving Linear Equation

Subtract $y\times 1$ from both sides.

$$3x-4y-y\times 1=0$$

Combine $-4y$ and $-y$ to get $-5y$.

$$3x-5y=0$$

Subtract $3x$ from both sides. Anything subtracted from zero gives its negation.

$$-5y=-3x$$

Divide both sides by $-5$.

$$\frac{-5y}{-5}=-\frac{3x}{-5}$$

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

$$y=-\frac{3x}{-5}$$

Divide $-3x$ by $-5$.

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

Show Solution

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Example

Question

Solve for x

Steps for Solving Linear Equation

Solve for y

Steps for Solving Linear Equation