Solve the following equations using graphical method: $a–2b=6$ $3a–6b=0$ - Noon Academy

Solve the following equations using graphical method: $a-2b=6$ $3a-6b=0$

Class 10 | Exercise 3.2 | Maths | RD Sharma

Solve the following equations using graphical method: $a-2b=6$ $3a-6b=0$

Given,

$a-2b=6$ ……. (i)

$3a-6b=0$ ……. (ii)

From equation (i),

⇒ $b=(a-6)/2$

When $a=2$ , we get $b=(2-6)/2=-2$

When $a=0$ , we get $b=(0-6)/2=-3$

Thus, we have the following table giving Points on the line $a-2b=6$

a	$2$	$0$
b	$-2$	$-3$

From equation (ii),

Solve for b:

⇒ $b=a/2$

So, when $a=0$

$b=0/2=0$

And, when $a=2$

⇒ $b=2/2=1$

Thus, we have the following table giving Points on the line $3a-6b=0$

a	$0$	$2$
b	$0$	$1$

Graph of the equations (i) and (ii) is given below:

From the given graph, we can conclude that the two lines are Parallel to each other. So, the two lines do not intersect.

Thus, the given system has no solutions.

i

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Question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:

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