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Lesson 9-4 Example 1 Solve a Multiplication Equation Solve 6x = 18. Check your solution. Model the equation. Divide the 18 counters equally into 6 groups. There are 3 in each group. Check 6x = 18 Write the original equation. ? 6(3) 18 18 = 18 Replace x with 3. This sentence is true. The solution is 3. Example 2 Solve a Multiplication Equation Solve −4x = 24. −4x = 24 4 x 24 4 4 1x = −6 x = −6 Write the equation. Divide each side by −4. −4 ÷ (−4) = 1, 24 ÷ (−4) = −6 1x = x The solution is −6. Check this solution. Example 3 Use an Equation to Solve a Problem GEOMETRY The area of a rectangle is 5.4 square meters, and its width is 0.6 meter. Write an equation to find the length of the rectangle. Let = the length of the rectangle. The area of a rectangle 5.4 5.4 = 0.6 5.4 0.6 0.6 0.6 9= is equal to its length times its width. = 0.6 Write the equation. Divide each side by 0.6. Simplify. The length of the rectangle is 9 meters. Check 5.4 = 0.6(9) is true.