## 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

1. 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?

2. icalibear

y = x + 10 and x = y - 10?

3. jim_thompson5910

they're the same equation, so let's go with y = x + 10

4. icalibear

okay

5. 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

6. icalibear

i got 15

7. jim_thompson5910

that's too small

8. jim_thompson5910

try again

9. icalibear

|dw:1434842183169:dw|

10. icalibear

70?

11. jim_thompson5910

x = 70 is correct

12. jim_thompson5910

then you'll use that to find y with y = x+10

13. icalibear

i divided the 5 for some reason

14. icalibear

okay