Question

Find four different solutions of 2x + y =6.

Answer 1

Step-by-step explanation:

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Answer 2

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2x+y=6

2x+y=6 ------(i)

2x=6-y -------(ii)

Put (ii) in (i)

2x+y=6

6-y=6

-y=6+6

-y=12

y= -12

Now put value of y= -12

2x+y=6

2x+(-12)=6

2x=6+12

2x=18

$\sf \: x = \frac{18}{2} = 9$

So y= -12 and x=9

Method 2:-

2x+y=6

Add -y to both sides:-

$\sf2x \: \cancel{ + y} \: \cancel {- y} =6 \: - y$

2x=6-y

Now divide both sides by 2:-

$\large \sf \frac{2x}{2} = \frac{6}{2} - \frac{y}{2}$

$\sf \: x = 3 - \frac{y}{2}$

Hope it helps you.....