SOLVING LINEAR EQUATIONS

Recall the following:


Problem 1.4c:

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Answer: tex2html_wrap_inline820

Solution: Multiply both sides by 42, the smallest number that 2, 3, 4, and 7 divides into evenly.

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Simplify:

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Subtract 21x from both sides of the equation:

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Subtract 30 from both sides of the equation:

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Divide both sides by 7:

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The answer is tex2html_wrap_inline824

Check the solution by substituting tex2html_wrap_inline820 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.

Since the left side of the original equation equals the right side of the orignal equation when tex2html_wrap_inline820 substituted for x, then tex2html_wrap_inline824 is the correct answer. You can also check your answer with the calculator. tex2html_wrap_inline840 You can also check your answer by graphing tex2html_wrap_inline846 (left side of the original equation minus the right side of the original equation). The x intercept is 75.714286.


If you would like to review the solution to problem 1.4d, click on solution.

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Author:Nancy Marcus

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