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Please help with this!

Please help with this!-example-1

1 Answer

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Answer:

  • y = 8
  • RS = 51
  • ST = 29

Explanation:

(a) You use the fact that the lengths RS and ST total the length RT.

RS +ST = RT

(6y+3) +(3y+5) = 80 . . . . . substitute the given values

9y +8 = 80 . . . . . . . . . . . . .simplify

9y = 72 . . . . . . . . . . . . . . . .subtract 8

72/9 = y = 8 . . . . . . . . . . . .divide by the coefficient of y

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(b) Now, the value of y can be substituted into the expressions for RS and ST to find their lengths.

RS = 6y +3 = 6·8 +3

RS = 51

ST = 3y +5 = 3·8 +5

ST = 29

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Check

RS +ST = 51 +29 = 80 = RT . . . . the numbers check OK

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