Problem 11
Question
Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Seven subtracted from five times a number is \(178 .\) Find the number.
Step-by-Step Solution
Verified Answer
Hence, the value of \(x\) is 37.
1Step 1: Translate words into equation
The given statement translates to: \(5x - 7 = 178\).
2Step 2: Simplify the equation
Taking 7 to the other side by adding 7 to both sides gives a simplified equation: \(5x=178 +7\), which can be further simplified to \(5x = 185\).
3Step 3: Solve for x
Now, to find the number \(x\), divide the whole equation by 5: \(x = 185 / 5\).
Other exercises in this chapter
Problem 10
Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(y=m x+b\) for \(x\)
View solution Problem 10
Solve each equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. $$4(2 x-3)=32$$
View solution Problem 11
Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$x-4=19$$
View solution Problem 11
Graph the solutions of each inequality on a number line. \(-1
View solution