Problem 13
Question
Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. A number increased by 5 is two times the number. Find the number.
Step-by-Step Solution
Verified Answer
The number we are looking for is 5.
1Step 1: Formulate the equation
If \(x\) is the number, 'a number increased by 5' can be written as \(x + 5\), and 'two times the number' can be written as \(2x\). The equation that represents the condition is \(x + 5 = 2x\).
2Step 2: Solve for x
To solve for \(x\), we can subtract \(x\) from both sides of the equation. This gives us \(5 = x\).
Other exercises in this chapter
Problem 12
Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(P=C+M C\) for \(M\)
View solution Problem 12
Solve each equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. $$20=44-8(2-x)$$
View solution Problem 13
Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$z+8=-12$$
View solution Problem 13
Express the solution set of each inequality in interval notation and graph the interval. \(x \leq 3\)
View solution