Question

Find the condition for which the system of equations x/a+y/b = c and bx+ay = 4ab( a, b is not equal to zero) is inconsistent

Answer 1

x/a + y/b = c 
divide second equation by  ab
x/a + y/b = 4

if c ≠ 4  then the system of equations will be inconsistent.

Answer 2

Given:

$\frac {x}{a} + \frac {y}{b} = c$

$bx + ay = 4 \times a \times b$

If a, b is “not equal” to zero.

To find:

Inconsistent condition for the equations system.

Solution:

$\frac {x}{a}+\frac {y}{b} = c \rightarrow(1)$

$bx+ay = 4 \times a \times b \rightarrow(2)$

Divide the equation (2) by ab

$\frac {x}{a}+\frac {y}{b} = 4$

If a system of equation has no solution then it is called as inconsistent. If c is not equal to 4 then the “system of equations” will be considered as inconsistent.