icalibear
  • icalibear
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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jim_thompson5910
  • jim_thompson5910
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?
icalibear
  • icalibear
y = x + 10 and x = y - 10?
jim_thompson5910
  • jim_thompson5910
they're the same equation, so let's go with y = x + 10

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icalibear
  • icalibear
okay
jim_thompson5910
  • jim_thompson5910
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
icalibear
  • icalibear
i got 15
jim_thompson5910
  • jim_thompson5910
that's too small
jim_thompson5910
  • jim_thompson5910
try again
icalibear
  • icalibear
|dw:1434842183169:dw|
icalibear
  • icalibear
70?
jim_thompson5910
  • jim_thompson5910
x = 70 is correct
jim_thompson5910
  • jim_thompson5910
then you'll use that to find y with y = x+10
icalibear
  • icalibear
i divided the 5 for some reason
icalibear
  • icalibear
okay

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