To solve the equation \( 5(x+3)=25 \), let's analyze the provided responses and see which methods are correct:
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First, simplify the left side of the equation by distribution. Then, subtract 3 from both sides of the equation. Finally, divide both sides of the equation by 5.
This method is correct.- Step 1: Distributing \( 5 \) gives \( 5x + 15 = 25 \).
- Step 2: Subtract \( 15 \) from both sides: \( 5x = 10 \).
- Step 3: Divide by \( 5 \): \( x = 2 \).
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First, divide both sides of the equation by 5. Then, subtract 3 from both sides of the equation.
This method is also correct.- Step 1: Dividing by \( 5 \) gives \( x + 3 = 5 \).
- Step 2: Subtract \( 3 \) from both sides: \( x = 2 \).
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First, divide both sides of the equation by 5. Then, subtract 15 from both sides of the equation.
This method is incorrect.- After dividing by \( 5 \), you get \( x + 3 = 5 \), and subtracting \( 15 \) does not work.
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First, simplify the left side of the equation by distribution. Then, subtract 15 from both sides of the equation. Finally, divide both sides of the equation by 5.
This method is incorrect.- The proper steps after distribution do not involve subtracting \( 15 \) because it leads to an incorrect equation.
Based on the analysis, the correct responses are:
- First, simplify the left side of the equation by distribution. Then, subtract 3 from both sides of the equation. Finally, divide both sides of the equation by 5.
- First, divide both sides of the equation by 5. Then, subtract 3 from both sides of the equation.
1 answer