Question

Equation x + y = 16, has how many solution ?

Answer 1

Equation x + y = 16 has infinite no : of solutions .
This is because a linear Equation in 2 variables has infinite no: of solutions.

Some of the solutions are:
1. (10,6)
2. (6,10)
3. (14 , 2)
etc....

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Answer 2

Answer: There are infinite number of solutions.

Step-by-step explanation:  The given equation is:

$x+y=16.~~~~~~~~~~~~~~(i)$

We see that the above equation is a linear equation having two unknown variables 'x' and 'y'.

Since the number of unknown variables (= 2) is greater than the number of equations (= 1), so there will be infinitely many solutions to the given equation.

For example, from equation (i), we have

$x+y=16\\\\\Rightarrow y=16-x.$

If x = 2, we get y = 16 - 2 = 14,

if x = 8, we get y = 16 - 8 = 8, etc.

Thus, (2, 14), (8, 8), etc are the solutions of equation (i).

Also, the graph of the given equation will be a straight line and any point on the line will satisfy the equation.

The graph is attached.