Question

simplify the expression completely by combining like terms. 13x + 10y - (3x - 14y)

Explanation:

Step1: Distribute the negative sign

First, we distribute the negative sign to the terms inside the parentheses: \(13x + 10y - 3x + 14y\) (because \(-(3x - 14y)=-3x + 14y\)).

Step2: Combine like terms for \(x\)

Combine the \(x\)-terms: \(13x - 3x = 10x\).

Step3: Combine like terms for \(y\)

Combine the \(y\)-terms: \(10y + 14y = 24y\).

Step4: Write the simplified expression

Put the combined terms together: \(10x + 24y\).

Answer:

\(10x + 24y\)