Question

State true or false:

For a pair of equations $4x–y=19$ and $2x+y=23$, the value of $5y–2x$ will be 31, when the actual values of '$x$' and '$y$' are substituted.

• A. True
• B. False

Answer 1

The correct option is A

True

Given that,
$4x–y=19$ ___(1)
$2x+y=23$ ___(2)

Additing both equations,
$\Rightarrow 6x=42$
$\Rightarrow x=7$

Subtituting this value in eqation (2)
$\Rightarrow 14+y=23$
$\Rightarrow y=9$

Now,
$=5y–2x$
$=45-14$
$=31$