SOLVING LINEAR EQUATIONS
Recall the following:
- A linear equation is a polynomial of degree 1.
- In order to solve for the unknown variable, you must isolate the
- In the order of operations, multiplication and division are
completed before addition and subtraction.
LINEAR EQUATION - Solve for x in the following equation.
- Example 1:
- Multiply both sides by the lowest common multiple of 4, 6, and
3, or 12.
3(3x) + 2(5) = 60x - 500
9x + 10 = 60x - 500
- Subtract 9x from both sides of the equation:
10 = 51x - 500
- Add 500 to both sides of the equation:
510 = 51x
- Divide both sides by 51:
- The answer is x = 10.
Check the solution by substituting 10 in the original equation
for x. If the left side of the equation equals the right side of
the equation after the substitution, you have found the correct
You can also check your answer by graphing
(left side of the
original equation minus the right side of the original equation). The
graph will cross the x-axis at x=10.
- Left side:
- Right Side:
If you would like to review another example, click on Example
If you would like to test yourself by working some
problems similar to this example, click on Problem.
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