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iris [78.8K]
3 years ago
8

RS = 6y+2, ST=3y +7, and RT=13y-23 What is the value of y? y =________ Find STand RT. ST =_______ RT =_______

Mathematics
1 answer:
svlad2 [7]3 years ago
6 0

Answer:

<h2><em> y = 8, ST = 31 and RT = 81</em></h2>

Step-by-step explanation:

Given RS = 6y+2, ST=3y +7, and RT=13y-23, the vector formula is true for the equations given; RS+ST = RT

Om substuting the expression into the formula;

6y+2+3y +7 = 13y - 23

collect the like terms

6y+3y-13y+2+7+23 = 0

-4y+32 = 0

Subtract 32 from both sides

-4y+32-32 = 0-32

-4y = -32

y = -32/-4

y = 8

Since ST = 3y+7. we will substitute y = 8 into the exprrssion to get ST

ST = 3(8)+7

ST = 24+7

ST = 31

Similarly,

RT = 13y-23

RT = 13(8)-23

RT = 104-23

RT = 81

<em>Hence y = 8, ST = 31 and RT = 81</em>

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