Question 95

The solution set of 4x - 3y = 47 and 3x + y = 32 is

Solution

Equation 1 : 4x - 3y = 47

Equation 2 : 3x + y = 32

Multiplying equation (ii) by 3 and adding it to equation (i)

=> $$(4x+9x)+(-3y+3y)=(47+96)$$

=> $$13x=143$$

=> $$x = \frac{143}{13}=11$$

Substituting it in equation (ii), => $$y=32-3(11) = 32 - 33 = -1$$

$$\therefore (x,y)=(11,-1)$$

=> Ans - (C)


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