Question

To eliminate x from equations $$x + y + 3x = 12 \rightarrow$$ ....... (1) & $$8x + 3y = 17 \rightarrow$$ ..... (2), equation (2) is to be multiplied by ..............( from the given options)

A
8
B
12
C
3
D
None of the above

Solution

The correct option is B $$- \dfrac{1}{2}$$The given equations are$$x + y + 3x = 12$$         ........ (1)and $$8x + 3y = 17$$       ....... (2)Equation (i) can be further simplified as $$4x + y = 12$$So, to eliminate x, equation (2) should be multiplied by $$- \dfrac{1}{2}$$.Mathematics

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