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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
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B
12
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C
3
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D
None of the above
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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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