To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

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

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

y² - 2y - 7 = y + 3
y² - 2y - 7 - 3 = y
y² - 2y - y - 10 = 0
y² - 3y - 10 = 0

Next, factor the quadratic equation:

y² - 3y - 10 = 0
(y + 2)(y - 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 2) or (y - 5) must equal zero:

If (y + 2) = 0, y must equal -2
If (y - 5) = 0, y must equal 5

So the solution is that y = -2 or 5

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

p = x + y + z
p = 9cm + 12cm + 5cm = 26cm

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.