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icalibear

  • one year ago

Systems of equations help please A student took a science test and a math test. They scored 10 points more on the math test than they did on the science test. The average score of the two tests was 75. The average score is given by x + y / 2. x = science, y = math. what did they score on the math test

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  1. jim_thompson5910
    • one year ago
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    x = science, y = math "They scored 10 points more on the math test than they did on the science test" so how can you use that sentence to tie x and y together? what equation can we form?

  2. icalibear
    • one year ago
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    y = x + 10 and x = y - 10?

  3. jim_thompson5910
    • one year ago
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    they're the same equation, so let's go with y = x + 10

  4. icalibear
    • one year ago
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    okay

  5. jim_thompson5910
    • one year ago
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    Then it says "The average score of the two tests was 75" we will use the average formula A = (x+y)/2 to get \[\Large A = \frac{x+y}{2}\] \[\Large 75 = \frac{x+y}{2}\] \[\Large 75 = \frac{x+x+10}{2}\] In line 3, I replaced y with x+10 since y = x+10 Now solve for x

  6. icalibear
    • one year ago
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    i got 15

  7. jim_thompson5910
    • one year ago
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    that's too small

  8. jim_thompson5910
    • one year ago
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    try again

  9. icalibear
    • one year ago
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    |dw:1434842183169:dw|

  10. icalibear
    • one year ago
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    70?

  11. jim_thompson5910
    • one year ago
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    x = 70 is correct

  12. jim_thompson5910
    • one year ago
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    then you'll use that to find y with y = x+10

  13. icalibear
    • one year ago
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    i divided the 5 for some reason

  14. icalibear
    • one year ago
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    okay

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