Question

derivation of substitution method​

Answer 1

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Solve for ‘x’ and ‘y’:-

        x + y = 5.

       3x + y = 11.

Solution: -

        x + y = 5 …………… (i)

       3x + y = 11 …………… (ii)

Since we are given two different equations in terms of two different linear equations, let us try to solve them using the concept of method of substitution:

From 1st eq. we find that y = 5 - x.

Substituting value of y in eq. (ii), we get;

        3x + 5 - x = 11.

⟹ 2x = 11 - 5

⟹ 2x = 6

⟹ x = 6/2

⟹ x = 3.

Substituting x = 3 in y = 5 – x, we get;

y = 5- x 

⟹ y = 5 - 3

⟹ y = 2.

Hence,

x = 3 and y = 2.