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

-3b - 4z = -5b - 9z + 5
-3b = -5b - 9z + 5 + 4z
-3b + 5b = -9z + 5 + 4z
2b = -5z + 5
b = \( \frac{-5z + 5}{2} \)
b = \( \frac{-5z}{2} \) + \( \frac{5}{2} \)
b = -2\(\frac{1}{2}\)z + 2\(\frac{1}{2}\)

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².

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.

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.