Answer:
100 liters of 10% solution is used and 20 liters of 40% solution is used
Step-by-step explanation:
Let "X" amount of 10% solution is used. Then the amount of 40% solution used is equal to 120-X
Now
10% of X + 40% of (120-X) = 15% of 120
On solving the above equation, we get
liters
Amount of 40% solution used = 120 -X = 120-100 = 20 liters
100 liters of 10% solution is used and 20 liters of 40% solution is used
Answer:
The value of k is and The value of p is - 23
Step-by-step explanation:
Given equation as :
81 y - 17 = k² y + 6 + p
The equation has real solution ,
Now for real solution the equation have no solution
∵ The equation has no solution the ,
The coefficient of y must be equal
I.e 81 = k²
Or, k =
∴ k =
Again , If the coefficient of y is same then the equation is written as
6 + p = - 17
or, p = - 17 - 6
or, p = - 23
Hence The value of k is and The value of p is - 23 Answer
Answer:
(0, -5), (4, -2), (-16, -17)
Step-by-step explanation:
I attach your full question in the image below
The equation is
3x-4y-8=12
Which can be rewritten as
3x-4y =12 +8
3x-20 = 4y
y = (3/4)*x - 5
We need to check each individual case
(0,-5)
y = (3/4)*(0) - 5
y = -5
True
(4,-2)
y = (3/4)*(4) - 5
y = -2
True
(8,2)
y = (3/4)*(8) - 5
y = 1
False
(-16,-17)
y = (3/4)*(-16) - 5
y = -17
True
(-1,-8)
y = (3/4)*(-1) - 5
y = -23/4
False
(-40,-34)
y = (3/4)*(-40) - 5
y = -35
False
(0,-5) (4,-2) and (-16,-17) are the solutions
