To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.

3c + 5z = 6c - 3z - 6
3c = 6c - 3z - 6 - 5z
3c - 6c = -3z - 6 - 5z
-3c = -8z - 6
c = \( \frac{-8z - 6}{-3} \)
c = \( \frac{-8z}{-3} \) + \( \frac{-6}{-3} \)
c = 2\(\frac{2}{3}\)z + 2

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 8cm + 14cm + 5cm = 27cm

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

5a x 4b = (5 x 4) (a x b) = 20ab

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)