Linear Equations
Linear equations are the staple of algebra and involve finding the value of an unknown variable that makes the equation true. The general form is ax + b = c.
Quick hint!
To solve ax + b = c, isolate x by first subtracting b from both sides, then divide every term by a.
Examples
- For the equation 2x + 4 = 12, subtract 4 from both sides, yielding 2x = 8, then divide by 2, resulting in x = 4.
- For -3x + 9 = 0, subtract 9, yielding -3x = -9, then divide by -3, letting us solve x = 3.