Question

using the graph find whether the pair of linear equation 3x-5y=20, 6x-10y+40=0 is consistent or inconsistent​

Answer 1

It may be consistent or inconsistent

Answer 2

Answer:

Inconsistent

Step-by-step explanation:

Graphical method:

As it can be observed from the attached graph, the 2 lines are parallel to each other and never intersect.

So, the given pair of linear equations are inconsistent.

Algebraic method:

Given 2 pairs of linear equations can also be written as:

• 3x - 5y = 20
• 6x - 10y = -40

Here:

$\tt{\dfrac{a _{1}}{a_2} = \dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2} }$

So, the lines are said to be parallel and parallel lines are inconsistent.