Solving Linear Equations

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form of $$ax + b = 0$$ , where $$a$$ and $$b$$ are constants.

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side. For example, in $$x + 5 = 10$$ , subtract 5 from both sides to get $$x = 5$$ .

Solving a linear equation means finding the value of the variable that makes the equation true.

$$a = 112$$ .

$$m = 3$$ .

$$a = 10$$ .

$$m = 3$$ .

$$k = -8$$ .

Subtract 3 from both sides to get $$2x = 8$$ .

A coefficient is a numerical factor that multiplies a variable. For example, in $$3x + 4 = 10$$ , 3 is the coefficient of $$x$$ .