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3. a soccer player has scored 8 more goals than assists. if they have 2…

Question

  1. a soccer player has scored 8 more goals than assists. if they have 26 total goals and assists, how many goals and assists do they have?

Explanation:

Step1: Define variables

Let \( x \) be the number of assists. Then the number of goals is \( x + 8 \).

Step2: Set up equation

The total number of goals and assists is 26, so \( x+(x + 8)=26 \).

Step3: Solve the equation

Simplify the left side: \( 2x+8 = 26 \). Subtract 8 from both sides: \( 2x=26 - 8=18 \). Divide both sides by 2: \( x=\frac{18}{2}=9 \). So assists \( x = 9 \), goals \( x + 8=9 + 8 = 17 \).

Answer:

Goals: 17, Assists: 9