Solve the equation. Check the solution.
EXAMPLE 1
Solve x − 7 = 10 for x.
Solution
To solve for x, we want x alone on one side of the equation. To do this, we add 7 to both sides of the equation.
The solution of the equation x = 17 is obviously 17. Since we are writing equivalent equations, the solution of the equation x − 7 = 10 is also 17.
Check: To check, replace x with 17 in the original equation.
Since the statement is true, 17 is the solution.
EXAMPLE 2
Solve y + 0.6 = −1.0 for y.
Solution
To get y alone on one side of the equation, subtract 0.6 from both sides of the equation.
Check: To check the proposed solution, −1.6, replace y with −1.6 in the original equation.
The solution is −1.6.
x + 7 = 10
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