1.

Find six solutions for the following linear equations in two variables x +y=4​

Answer»

SOLUTION: (i) The given equation is

x + y = 4

y = 4 – x …………….equation (1)

Now , putting the value x = 0 in equation (1)

y = 4 – 0 = 4. So the solution is (0, 4)

Putting the value x = 1 in equation (1)

y = 4 – 1 = 3. So the solution is (1, 3)

Putting the value x = 2 in equation (1)

y = 4 – 2 = 2. So the solution is (2, 2)

So, the table of the different solutions of the equation is

x 0 1 2

y 4 3 2

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