Question 34

What should be added to 5(2x-y) to obtain 4(2x - 3y) + 5(x + 4y)?

Solution

Let $$m$$ should be added to 5(2x-y) to obtain 4(2x - 3y) + 5(x + 4y)

=> $$(m) + [5(2x-y)] = 4(2x-3y)+5(x+4y)$$

=> $$m + 10x-5y=8x-12y+5x+20y$$

=> $$m + 10x-5y=13x+8y$$

=> $$m = (13x-10x)+(8y+5y)$$

=> $$m=3x+13y$$

=> Ans - (B)

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