Question

solve the following pair of linear equation by elimination method

Answer 1

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Answer 2

Heya !!

★ (1) X + Y = 9 ---------(1)

And,

3X - Y = 0 --------(2)

Adding equation (1) and equation (2) we get,

X + Y = 9

3X - Y = 0

-----------------

4X = 9

X = 9/4

Putting the value of X in equation (1)

X + Y = 9

9/4 + Y = 9

9 + 4Y = 36

4Y = 36-9

Y = 27/4

Hence,

X = 9/4 and Y = 27/4.

★ (2) X + Y = 25 ---------(1)

X + 2Y = 40 -----------(2)

Subtracting equation (1) and equation (2) we get,

X + Y = 25

X + 2Y = 40

-------------------

- Y = - 15

Y = 15

Putting the value of Y in equation (1)

X + Y = 25

X + 15 = 25

X = 10.

Hence,

X = 10 and Y = 15.

★ (3) X + 4Y = 27 ----------(1)

X + 2Y = 21 --------------(2)

Subtracting equation (1) and equation (2) we get,

X + 4Y = 27

X + 2Y = 21

------------------

2Y = 6

Y = 6/2 = 3

Putting the value of Y in equation (1)

X + 4Y = 27

X + 4 × 3 = 27

X = 27-12

X = 15


Hence,


X = 15 and Y = 3.