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To find the solution of the given equation,

Let’s take x = 0, then

2(0) + y = 7
y = 7

Hence, one solution is (0, 7).

To find another solution we can take y = 0, then

2x + 0 = 7

x = 3.5
So, another solution is (3.5, 0).

Example:

Find four solutions for the equation: x + 2y = 6.

Ans-:x + 2y = 6
 x = 6 – 2y

If x=0, then y=3

If x=1, then y=2.5

If x=2, then y=2

If x=6, then y=0

Therefore, (0,3),(1,2.5),(2,2),(6,0) are four solution of the equation x + 2y = 6.
Example-

Find the value of k, if x=2,y=1 is a solution of the equation 2x+3y=k

Solution-

2x+3y=k

So 2(2)+3(1)=k
So, k=7

Important notes

Note that an easy way of getting a solution is to take x=0 and get the corresponding
value of y. Similarly, we put y=0 and obtain the corresponding value of x.

Verification of a solution for an equation:
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