Answer :
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
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
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) [tex]x+(x-2.25)=5[/tex]
Solving this we get
[tex]2x=5+2.25[/tex]
[tex]2x=7.25[/tex]
x = 3.625 inches
And the other part will be = [tex]5-3.625=1.375[/tex] 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 [tex]3y+y=5[/tex]
[tex]4y=5[/tex]
y = 1.25 inches
Other part x is [tex]5-1.25=3.75[/tex] inches
