Question 95

If 4x - 7y = 3 and 2x - y = 9, then x - y is.

Solution

Equation 1 : 4x - 7y = 3

Equation 2 : 2x - y = 9

Multiplying equation (ii) by 2 and subtracting equation (i) from it

=> $$(-2y+7y)=(18-3)$$

=> $$5y=15$$

=> $$y=\frac{15}{5}=3$$

Substituting it in equation (ii), => $$2x = 9+3 = 12$$

=> $$x=\frac{12}{2}=6$$

$$\therefore (x-y)=6-3=3$$

=> Ans - (A)


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