Question

The value of X and Y which satisfy the linear equation 2x+3y=16​

Answer 1

Answer:

y=8/3

x=1

Step-by-step explanation:

let the value of x is 1

then,

2x+3y=16

2×1+3y=16

2+3y=16

3y=16/2

3y=8

y=8/3

then,

the value of x is,

2x+3×8/3=16

2x+8=16

2x=16/8

2x=2

x=2/2

x=1

Answer 2

Concept:

Linear equations in two variables if have two equations then there will be one solution for each variable. If there is one equation in two variables then there can be many solutions as there can be infinite values of the variables.

Given:

Linear equation, 2x+3y=16

Find:

The equation satisfies which of the values of x and y.

Solution:

Options are not given here so we can assume random values for x and y.

Putting x=0, we get,

3y=16, y=16/3

Putting y=0, we get,

2y=16, y=8,

Putting, x=8, we get,

16+3y=16, y=0

Similarly, we take n number of values and we get accordingly the other variable values.

Hence, there exist infinite solutions for the linear equation 2x+3y=16.

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