## 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 variable.

• In the order of operations, multiplication and division are completed before addition and subtraction.

LINEAR EQUATION - Solve for x in the following equation.

Problem 1.5a:

Get rid of the denominators by multiplying both sides by 35, the smallest number that 7, and 5 will divide into evenly.

Recall the line that separates the numerator and the denominator also functions as a parenthesis. It instructs the reader to treat the numerator as one number and the denominator as one number.

Simplify:

Subtract 30x from both sides of the equation and subtract 19 from both sides of the equation:

Divide both sides by 44:

Check the solution by substituting 4 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 answer.

• Left side:
• Right Side:
Since the left side of the original equation equals the right side of the original equation after you substitute x=4, the answer is x=4.

If you would like to go back to the problem page, click on problem.

If you would like to review the solution to problem 1.5b, click on solution.

[Algebra] [Trigonometry]
[Geometry] [Differential Equations]
[Calculus] [Complex Variables] [Matrix Algebra]