Question

1 point
QUESTION-3 The equations X+
y =1 and 4x+ y =2 have how many solution​

Answer 1

Step-by-step explanation:

When we talk about the system of linear equations with one or more variables, it can have solutions ranging from none to infinite.

The equations will have a unique solution if the number of variables are the same as that of number of available equations.

To find the solutions, we need to consider the equations simultaneously. Such as

x + y = 1 .......... eq (1)

4x + y = 2 ...... eq (2)

Subtracting both equations,we get

3x = 1

x = 1/3

Substituting value of x in equation (1) , we get

y= 2/3

Thus, the equations have a unique solution

Answer 2

Equations have a unique solution.

Step-by-step explanation:

Given: x + y = 1 -------(1)

4x + y = 2 -------(2)

Solution:

Subtracting equation 1 from equation 2, we get:

3x = 1

Therefore x = 1/3

Substituting x in equation 1, we get:

 1/3 + y = 1

 y = 1 - 1/3

Therefore y = 2/3

From above, we find x and y values. So the two equations have a unique solution.