Solve each of the following 3x + 2y + 7 = 0 | 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

$$- 3 x + 2 y + 7 = 0$$

Solve for x

$x=\frac{2y+7}{3}$

Steps for Solving Linear Equation

Subtract $2y$ from both sides. Anything subtracted from zero gives its negation.

$$-3x+7=-2y$$

Subtract $7$ from both sides.

$$-3x=-2y-7$$

Divide both sides by $-3$.

$$\frac{-3x}{-3}=\frac{-2y-7}{-3}$$

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

$$x=\frac{-2y-7}{-3}$$

Divide $-2y-7$ by $-3$.

$$x=\frac{2y+7}{3}$$

Solve for y

$y=\frac{3x-7}{2}$

Steps for Solving Linear Equation

Add $3x$ to both sides. Anything plus zero gives itself.

$$2y+7=3x$$

Subtract $7$ from both sides.

$$2y=3x-7$$

Divide both sides by $2$.

$$\frac{2y}{2}=\frac{3x-7}{2}$$

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

$$y=\frac{3x-7}{2}$$