Problem

Solve the equation, and check the solution. See ExamplesEXAMPLE Applying the Addition Prop...

Solve the equation, and check the 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.
CHECK Substitute 23 for x in the original equation.
A true statement results, so 23 is the solution and {23} is the solution set.
EXAMPLE Applying the Addition Property of Equality
Solve x − 2.9 = −6.4.
A true statement results, so the solution set is {−3.5}.
EXAMPLE Applying the Addition Property of Equality
Solve −7 = x + 22.
Here, the variable x is on the right side of the equation.
The check confirms that the solution set is {−29}.
EXAMPLE Subtracting a Variable Term
Solve 6x − 8 = 7x.
A true statement results, so the solution set is {−8}.
EXAMPLE Subtracting a Variable Term (Fractional Coefficients)
Solve .
Check by replacing x with 15 in the original equation. The solution set is {15}.
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}.