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zaharov [31]
4 years ago
12

You run one lap around a mile track every 8 minutes. Your friend runs around the same track every 10 minutes. You both start at

the starting line at the same time.
a: How far have each of you run when you first meet again?

b: How far have each of you run the next time you meet at the starting line?



Can anyone help me solve this?
Mathematics
1 answer:
Sonja [21]4 years ago
6 0
B) it would make more since because it how far you and how much time you meet again at the starting line
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valentina_108 [34]

Answer: x=\frac{12y+17}{5}

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x=\frac{y-20}{9}

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Step-by-step explanation:

5x-12y-17=0 (plus 17 from both sides)

5x-12y=17 (plus 12y from both sides)

5x=12y+17 (divide 5 from everything)

x=\frac{12y+17}{5}

5x-12y-17=0 (plus 17 from both sides)

5x-12y=17 (minus 5x from both sides)

-12y=-5x+17 (divide everything by -12)

y=\frac{-5x+17}{-12}

1*9(x+2)-(y+1)+3=0 (distribute 9 to x and to 2) (distribute -1 to y and to 1)

1*9x+18-y-1+3=0 (times 9x by 1)

9x+18-y-1+3=0 (combine like terms)

9x-y+20=0 (minus 20 from both sides)

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9x=y-20 (divide 9 from both sides)

x=\frac{y-20}{9}

1*9(x+2)-(y+1)+3=0 (distribute 9 to x and to 2) (distribute -1 to y and to 1)

1*9x+18-y-1+3=0 (times 9x by 1)

9x+18-y-1+3=0 (combine like terms)

9x-y+20=0 (minus 20 from both sides)

9x-y=-20 (minus 9x from both sides)

-y=-9x-20 (divide -1 from everything)

y=9x+20

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Step-by-step explanation:

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