Solve Solve 3x - 5y = 11 for y . | 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

$$3 x - 5 y = 11 y$$

Solve for x

$x=\frac{16y}{3}$

Steps for Solving Linear Equation

Add $5y$ to both sides.

$$3x=11y+5y$$

Combine $11y$ and $5y$ to get $16y$.

$$3x=16y$$

Divide both sides by $3$.

$$\frac{3x}{3}=\frac{16y}{3}$$

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

$$x=\frac{16y}{3}$$

Solve for y

$y=\frac{3x}{16}$

Steps for Solving Linear Equation

Subtract $11y$ from both sides.

$$3x-5y-11y=0$$

Combine $-5y$ and $-11y$ to get $-16y$.

$$3x-16y=0$$

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

$$-16y=-3x$$

Divide both sides by $-16$.

$$\frac{-16y}{-16}=-\frac{3x}{-16}$$

Dividing by $-16$ undoes the multiplication by $-16$.

$$y=-\frac{3x}{-16}$$

Divide $-3x$ by $-16$.

$$y=\frac{3x}{16}$$