Question

linear equations and inequalities
solving a word problem with two unknowns using a linear equation
a garden table and a bench cost $914 combined. the garden table costs $36 less than the bench. what is the cost of the bench?
$

Explanation:

Step1: Define variables

Let \( x \) be the cost of the bench (in dollars). Then the cost of the garden table is \( x - 36 \) dollars.

Step2: Set up the equation

The sum of their costs is \( 914 \), so \( x+(x - 36)=914 \).

Step3: Solve the equation

Simplify the left - hand side: \( 2x-36 = 914 \).
Add \( 36 \) to both sides: \( 2x=914 + 36=950 \).
Divide both sides by \( 2 \): \( x=\frac{950}{2}=475 \).

Answer:

\( 475 \)