If $2 x + y = 23$ and $4 x - y = 19$ , find the values of $5 y - 2 x$

31

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22

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65

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10

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Solution

The correct option is A $31$
The given equations are
$2 x + y = 23$ ...(i)
$4 x - y = 19$ ...(ii)
On adding (i) and (ii), we get
$6 x = 42 \Rightarrow x = 7$
On putting $x = 7$ in (i), we get
$14 + y = 23 \Rightarrow y = 9$
Now,
$5 y - 2 x = 5 \times 9 - 2 \times 7 = 31$

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Question 7
If 2x + y = 23 and 4x – y = 19, then find the values of 5y – 2x and $\frac{y}{x}$ - 2.

Question 7
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