Answer:
x = -1 and y = 1/2
Step-by-step explanation:
Let u = 1/x, and v = 1/y
Then the pair of equations
-3/x + 4/y = 11
1/x - 2/y = -5
Can be written as
-3u + 4v = 11 .................................(1)
u - 2v = -5......................................(2)
From (2)
u = 2v - 5 .......................................(3)
Substituting (3) into (1)
-3(2v - 5) + 4v = 11
-6v + 15 + 4v = 11
-6v + 4v = 11 - 15
-2v = -4
v = 4/2 = 2
Substituting this value of v in (3)
u = 2v - 5
u = 2(2) - 5
= 4 - 5
= -1
That is
u = -1, v = 2
Since u = 1/x, and v = 1/y, we have
1/x = -1
=> x = -1
And
1/y = 2
=> y = 1/2
Therefore
x = -1 and y = 1/2
Answer: c = 8
Step-by-step explanation:
Simplifying
9c + -3c = 48
Combine like terms: 9c + -3c = 6c
6c = 48
Solving
6c = 48
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Divide each side by '6'.
c = 8
Simplifying
c = 8
4.5(4-x) + 36 = 202 - 2.5(3x + 28)
Distributive property
18 - 4.5x + 36 = 202 - 7.5x - 70
Combine like terms
-4.5x + 54 = -7.5x + 132
Add 7.5x to both sides
3x = 78
Divide both sides by 3
x = 26
Answer:True,because there are two or more variable/numbers in there
Step-by-step explanation:
Answer:
42 canteens
Step-by-step explanation:
1 gal = 3 canteens
14*3=42
