Use the number line below, where RS=7y+2, ST=5y+7, and RT=14y−3. a. What is the value of y? b. Find RS, ST, and RT.
2 answers:
Answer:
a. y = 6
b. RS = 44; ST = 37; RT = 81
Step-by-step explanation:
RS + ST = RT
7y + 2 + 5y + 7 = 14y - 3
group like terms
7y + 5y + 2 + 7 = 14y - 3
9 + 3 = 14y - 12y
12 = 2y
y = 12/2
y = 6
plug in values to solve RS, ST, RT
RS = 7(6) + 2 = 44
ST = 5(6) + 7 = 37
RT = 14(6) - 3 = 81
Answer:
a. y = 6
b. RS = 44
ST = 37
RT = 81
Step-by-step explanation:
RS = 7y + 2
ST = 5y + 7
RT = 14y - 3
find:
a. y
b. RS, ST, RT
RS + ST = RT
7y + 2 + 5y + 7 = 14y - 3
group like terms
7y + 5y + 2 + 7 = 14y - 3
12y + 9 = 14y - 3
9 + 3 = 14y - 12y
12 = 2y
y = 12/2
y = 6
-----------------------------------
b.
RS = 7(6) + 2
RS = 44
ST = 5(6) + 7
ST = 37
RT = 14(6) - 3
RT = 81
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