Solving equations with decimals | MyProfe.com

An equation is a mathematical equality between two algebraic expressions, called members, in which known and unknown elements (called variables) appear. A solution to an equation is a number that can be substituted for the variable to make it a true number sentence.

Solving equations

  1. If present, remove parentheses and denominators.
  2. Group the variable terms in one member and the independent terms in the other.
  3. Reduce like terms.
  4. Clear the variable.

Example 1: Solve the following equation 0.3 + a = 1.6.

To group the terms of the variable "a" into a member, we subtract 0.3 from both sides of the equality:

0.3 + a - 0.3 = 1.6 - 0.3

a = 1.3

Example 2: Solve the following equation k - 8 = 11.8

To group the terms of the variable “k” into a member, we add 8 to both sides of the equality:

k - 8 + 8 = 11.8 + 8

k = 19.8

Example 3: Solve the following equation n / 5 + 0.6 = 2

As in the previous cases, we owe the variable n. We subtract 0.6 from both sides of equality:

n / 5 + 0.6 - 0.6 = 2 - 0.6

n / 5 = 1.4

Now, we multiply both sides by 5:

(n / 5) · 5 = (1,4) · 5

n = 7