Question

given that x and y are integer how many different solution does equation 5x +2y=100​

Answer 1

There are infinite number of solutions for given equation. Because, there is not given that wheather x and y are Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Numbers, etc.

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Answer 2

Answer:

Infinite solutions

Step-by-step explanation:

For an equation in two variable, there can be infinite solutions.

We start by putting the values,

Putting x = 2,

$5x+2y=100\\5(2)+2y=100\\10+2y=100\\2y=100-10=90\\y=45$

Putting x = 4,

$5x+2y=100\\5(4)+2y=100\\20+2y=100\\2y=100-20=80\\y=40$

Putting x = 6,

$5x+2y=100\\5(6)+2y=100\\30+2y=100\\2y=100-30=70\\y=35$

For every value of x, we will have a value of y.

Thus we will have infinite soltuions to this equation in two variable.