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anonymous

  • one year ago

a number is multiplied by 5. If 5 is added to the product, you get 10. what is the number?

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  1. mathstudent55
    • one year ago
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    Let x be the number. How do you show the number multiplied by 5?

  2. anonymous
    • one year ago
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    idk that's what the problem says

  3. mathstudent55
    • one year ago
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    Using x, how do you express 5 times x? It's 5 * x or even simpler, 5x. Ok?

  4. anonymous
    • one year ago
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    so the answer is 5x?

  5. mathstudent55
    • one year ago
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    No. We are making an equation so we can find the answer. This is just one step in making and equation. A number multiplied by 5 is 5x. Now we add 5 to the product. We add 5 to 5x, so we get 5x + 5

  6. anonymous
    • one year ago
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    and?

  7. mathstudent55
    • one year ago
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    Then we are told that after doing the operations, the answer is 10. That means 5x + 5 = 10 This is the equation we must solve for x.

  8. mathstudent55
    • one year ago
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    5x + 5 = 10 We want to isolate x. Since 5 is being added to 5x, we first subtract 5 from both sides. 5x + 5 = 10 -5 -5 ------------- 5x = 5 Now x is being multiplied by 5. We want x alone, so we divide both sides by 5: 5x/5 = 5/5 x = 1 The answer is: the number is 1

  9. mathstudent55
    • one year ago
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    Now we can check to see if the answer is correct. We go back to the original problem: "A number is multiplied by 5. If 5 is added to the product, you get 10. what is the number?" We calculated the number to be 1, so let;'s see if it really works. "A number is multiplied by 5. 5 * 1 = 5 If 5 is added to the product, you get 10. 5 + 5 = 10 Yes, starting with 1, we do get 10, so 1 is the correct answer.

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