Linear Equation 20

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Solve : 3 x - 4 y = 10 and 5 x - 3 y = 24

Solution:

3 x - 4 y = 10 ------------------------ (i)

5 x - 3 y = 24 ------------------------ (ii)

Multiplying equation (i) by 5 and equation (ii) by 3, we get

15 x - 20 y = 50 --------------------- (iii)

15 x - 9 y = 72 ---------------------- (iv)

Subtracting equation (iv) from (iii), we get

- 11 y = - 22

Therefore, y = 2

Substituting y = 2, in equation (i), we get

3 x - 4 X 2 = 10

=> 3 x = 10 + 8

=> x = 18 / 3 = 6

Hence, x = 6 and y = 2

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