Question

Write any 4 solutions of the equation x+3y=7​

Answer 1

Answer:

Now,

3x+y=7

forx=0

3(0)+y=7

∴y=7

fory=0

3x+0=7

3x=7

x=

3

7

forx=1,

3(1)+y=7

y=

3

7

fory=1

3x+1=7

3x=6

x=

3

6

=2

So four solutions of the given equations are;

(0,7)(37,0)(1, 37)(2,1)

Answer 2

Given : x+3y=7​  

To Find :  any four solutions

Solution:

x+3y=7​  

Equation of  a line in 2 variables has Infinite solutions.

x+3y=7​  

y = 0

=> x + 3(0) = 7

=> x = 7

Hence (7 ,0) is one of the solution

y = -1

=> x + 3(-1) = 7

=> x = 10

Hence (10 ,-1) is one of the solution

y = 1

=> x + 3(1) = 7

=> x = 4

Hence (4 ,1) is one of the solution

y = 2

=> x + 3(2) = 7

=> x = 1

Hence (1 ,2) is one of the solution

y = 3

=> x + 3(3) = 7

=> x = -2

Hence (-2 ,3) is one of the solution

Hence Few solutions of the  equation x+3y=7​  are:

(-2, 3) , ( 1 , 2) , ( 4 , 1) , ( 7 , 0) and (10 , - 1)

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