Answer:
The length of the longer rope piece is 14 ft
Step-by-step explanation:
Let
x -----> the longer piece
y ----> the shorter piece
we know that
The sum of the longer piece plus the shorter piece must be equal to the length of the original piece
x+y=21
y=(21-x) -----> equation A
3x-7=5y ----> equation B
substitute equation A in equation B and solve for x
therefore
The length of the longer rope piece is 14 ft
Answer:
simultaneous equations
Step-by-step explanation:
a = 5b - 2
a +2 =5b
+2 = 5b - a
:. 5b - a = 2-------(1)
a + b = 100 -------(2)
from (1)
a = 5b - 2
so substituting a = 5b - 2 in (2) we get
5b - 2 + b = 100
6b = 102
b = 102/6
= 17
so from (2)
a + b = 100
a = 100 - b
= 83
