How to solve 3x+7=10y

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+7=10y | 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

$$3x+7=10y$$

Solve for x

$x=\frac{10y-7}{3}$

Steps for Solving Linear Equation

Subtract $7$ from both sides.

$$3x=10y-7$$

Divide both sides by $3$.

$$\frac{3x}{3}=\frac{10y-7}{3}$$

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

$$x=\frac{10y-7}{3}$$

Show Solution

Solve for y

$y=\frac{3x+7}{10}$

Steps for Solving Linear Equation

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

$$10y=3x+7$$

Divide both sides by $10$.

$$\frac{10y}{10}=\frac{3x+7}{10}$$

Dividing by $10$ undoes the multiplication by $10$.

$$y=\frac{3x+7}{10}$$

Show Solution

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Question

Solve for x

Steps for Solving Linear Equation

Solve for y

Steps for Solving Linear Equation