Question

Write a linear equation which will form an inconsistent pair with the equation + 3 – 4 = 0

Answer 1

Answer:

A pair of linear equations in two variables in general can be represented as

a1x+b1y+c1 = 0 and

a2x+b2y+c2 = 0.

We can find the solution to these equations by the graphical or algebraic method.

Consistent System

To sketch the graph of pair of linear equations in two variables, we draw two lines representing the equations. The following cases are possible:

i) If both the lines intersect at a point, then there exists a unique solution to the pair of linear equations. In such a case, the pair of linear equations is said to be consistent.

Step-by-step explanation:

In the graph given above, lines intersect at point P(x,y) which represents the unique solution of the system of linear equations in two variables.

Algebraically, if a1a2 ≠ b1b2 then, the linear equations’ pair is consistent.

ii) Consider two lines having equation to be-

a1x+b1y+c1 = 0 and

a2x+b2y+c2 = 0

Let these lines coincide with each other, then there exist infinitely many solutions since a line consists of infinite points. In such a case, the pair of linear equations is said to be dependent and consistent. As represented in the graph below, the pair of lines coincides and therefore, dependent and consistent.

Answer 2

$\bf\huge{Question:-}$

Write a linear equation which will form an inconsistent pair with the equation + 3 – 4

$\bf\huge{answer:-}$

refer the attachment