Solve the equation, and check your solution. See Examples.EXAMPLE Applying the Addition Pr...

Solve the equation, and check your solution. See Examples.

EXAMPLE Applying the Addition Property of Equality

Solve x − 16 = 7

Our goal is to get an equivalent equation of the form x = a number.

Substitute 23 for x in the original equation.

Since a true statement results, 23 is the solution and {23} is the solution set.

Example Applying the Addition Property of Equality

Solve x −2.9 = −6.4.

Since a true statement results, the solution set is {−3.5}.

EXAMPLE Applying the Addition Property of Equality

The check confirms that the solution set is {−29}

EXAMPLE Subtracting a Variable Expression

Solve .

Check by replacing x with 17 in the original equation. The solution set is {17}.

EXAMPLE Applying the Addition Property of Equality Twice

Solve 8 – 6p = −7p + 5

The check results in a true statement, so the solution set is {−3}

10x + 4 = 9x