Solve the equation. Check the solution.EXAMPLE 1Solve x − 7 = 10 for x.SolutionTo solve fo...

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.

7x − 3 = 6x