Problem 17
Question
Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Nine times a number is 30 more than three times that number. Find the number.
Step-by-Step Solution
Verified Answer
The number represented by 'x' is 5.
1Step 1: Formulate the Equation
Translate the given condition into an algebraic equation. The condition states 'Nine times a number is 30 more than three times that number.' This translates into the equation '9x = 3x + 30' where \(x\) represents the unknown number.
2Step 2: Simplify the Equation
Subtract '3x' from both sides to isolate 'x' terms on one side. This simplifies the equation to '6x = 30'.
3Step 3: Solve for 'x'
Divide both sides of the equation by '6' to solve for 'x'. This results in 'x = 5'.
Other exercises in this chapter
Problem 16
Solve each equation in using the multiplication property of equality. Be sure to check your proposed $$\frac{2}{3} y=12$$
View solution Problem 16
Solve each equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. $$5 x-(2 x+14)=10$$
View solution Problem 17
Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$-17=y-5$$
View solution Problem 17
Use the formulas for the area and circumference of a circle in Table 2.4 on page 170 to solve Exercises \(13-18\). In Exercises \(13-16,\) find the area and cir
View solution