3 years ago

Please help with this!

Mathematics

1 answer:

Klio2033 [76]3 years ago

5 0

Answer:

y = 8
RS = 51
ST = 29

Step-by-step 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

___

(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

___

<em>Check</em>

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

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