Note:
Solve for x in the following equation.
Example 2:
Since and , 5x+7=3 or 5x+7=-3
Step 3:
Solve for x in the equation 5x+7=-3.
The answers are and -2.
Check the solution x = -2 by substituting -2 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.
If you would like to test yourself by working some problems similar to this
example, click on Problems
If you would like to go back to the equation table of contents, click on
Contents.
Do you need more help? Please post your question on our
S.O.S. Mathematics CyberBoard.
Step 1:
Step 2:
Step 4: Check the solutions because answers are not always valid
solutions to the equation.
Check the solution x = by substituting
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 after we substituted the value
for, the solution
is valid
Since the left side of the original equation after we substituted the value -2 for, the solution x=-2 is valid
You can also check your answer by graphing
(the left side of the original equation minus the right side of the original
equation). You will note that the two x-intercepts on the graph are located
at and -2. this verifies our solutions graphically.
If you would like to work another example, click on Example
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