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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
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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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0x = 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
 one year ago
Best ResponseYou've already chosen the best response.0y = x + 10 and x = y  10?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0they're the same equation, so let's go with y = x + 10

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0Then 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

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0that's too small

icalibear
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434842183169:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0x = 70 is correct

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0then you'll use that to find y with y = x+10

icalibear
 one year ago
Best ResponseYou've already chosen the best response.0i divided the 5 for some reason
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