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Example 2.28 from Elementary Algebra, 2.3 Solve Equations with Variables and Constants on Both Sides
Solve Equations with Variables and Constants on Both Sides: example 2.28
Solve:
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
Solution
Notice, the variable is only on the left side of the equation, so we will call this side the “variable” side, and the right side will be the “constant” side. Since the left side is the “variable” side, the 9 is out of place. It is subtracted from the , so to “undo” subtraction, add 9 to both sides. Remember, whatever you do to the left, you must do to the right.
Add 9 to both sides. Simplify. The variables are now on one side and the constants on the other.
We continue from here as we did earlier.Divide both sides by 8. Simplify. Check: Let .
Your turn
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
Solve:
How did it go?