Question 77

If 2x - 5y = 5 and 2x - y = 9, then x - y is ................

Solution

Equation 1 : 2x - 5y = 5

Equation 2 : 2x - y = 9

Subtracting equation (i) from (ii), we get :

=> $$5y - y = 9 - 5$$

=> $$4y = 4$$ => $$y = 1$$

Substituting above value in equation(ii), => $$2x - 1 = 9$$

=> $$2x = 9 + 1 = 10$$

=> $$x = \frac{10}{2} = 5$$

$$\therefore (x-y) = 5-1 = 4$$

=> Ans - (B)

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