Mr kapoor withdrew 25000 from an atm if he received 150 notes in denomination of 500 and 100 find the number of notes for each denomination

We need to formulate the equation of this problem.

Let x = the number of notes for denomination of 500

      y = the number of notes for denomination of 100

We need to formulate the system of equation,

X + y = 150

500x + 100y = 25,000

Solution:

X = 150 – y

Substitute the value of x to the other equation:

500 (150 – y) + 100y = 25,000

75,000 – 500y + 100y = 25,000

-400y = 25,000 – 75,000

-400y = -50,000

y = 125

x = 150 – 125 (substitute the value of y)

x = 25

Therefore, there are 25 notes for denomination of 500 and 125 notes for denomination of 100.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions