Problem 28
Question
Solve each equation in using the multiplication property of equality. Be sure to check your proposed $$8 x-3 x=-45$$
Step-by-Step Solution
Verified Answer
\(x = -9\)
1Step 1: Simplify the equation
Combine the \(x\) terms on the left-hand side of the equation. This gives \(5x = -45\).
2Step 2: Use the multiplication property of equality
Divide both sides of the equation by 5 to solve for \(x\). This gives \(x = -9\).
3Step 3: Check the solution
Substitute \(x = -9\) back into the original equation to ensure it makes the equation true. Substituting into the original equation gives \(8*(-9) - 3*(-9) = -45\). Simplifying the left-hand side of the equation results in \(-45 = -45\), which is true, so \(x = -9\) is the correct solution.
Other exercises in this chapter
Problem 28
Use the addition property of inequality to solve each inequality and graph the solution set on a number line. \(2 x+9 \leq x+2\)
View solution Problem 28
Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve. What is \(8 \%\) of \(300 ?\)
View solution Problem 28
Solve each equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. $$100=-(x-1)+4(x-6)$$
View solution Problem 29
A car rental agency charges 200 dollars per week plus 0.15 dollars per mile to rent a car. How many miles can you travel in one week for 320 dollars ?
View solution