Question

question 14 (5 points)
translate \a number decreased by six equals fifteen\ into an equation and solve.
show your work.
need help showing your work? watch the show your work tutorial.

Explanation:

Translate the verbal phrase into an algebraic equation

Using the Translating Word Problems knowledge point, let \(x\) represent the unknown number.
"A number decreased by six" translates to \(x - 6\).
"Equals fifteen" translates to \(= 15\).
Thus, the equation is:

$$x - 6 = 15$$

Solve the equation for the unknown number

Using the Linear Equations knowledge point, isolate the variable \(x\) by adding \(6\) to both sides of the equation:

$$x - 6 + 6 = 15 + 6$$

$$x = 21$$

Answer:

Equation: \(x - 6 = 15\)
Solution: \(x = 21\)