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defon
3 years ago
15

Divide a 5-inch line into two parts so that one part (a) 2 1/4 inches shorter than the other; (b) 3 times the other.

Mathematics
2 answers:
scoray [572]3 years ago
5 0

Answer:

We have to divide 5-inch line into two parts so that one part (a) 2 1/4 inches or 2.25 inches shorter than the other; (b) 3 times the other

We can write this statement as :

(a) x+(x-2.25)=5

Solving this we get

2x=5+2.25

2x=7.25

x = 3.625 inches

And the other part will be = 5-3.625=1.375 inches

(b) As we have x+y=5

We have to find two parts where one is 3 times the other. This means we have to find x=3y

So, we have 3y+y=5

4y=5

y = 1.25 inches

Other part x is 5-1.25=3.75 inches

Ilia_Sergeevich [38]3 years ago
3 0
Part a), solve this system of equations:
x + y = 5
x - y = 2.25
2x = 7.25
x = 3.625
y = 1.375

part b), solve this system of equations:
x + y = 5
x = 3y
y = 1.25
x = 3.75
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