Question

2x+7y=45 , 3x+4y=22 find its solution?

Answer 1

Answer

$\sf \dashrightarrow 2x + 7y = 45 \: \: --- (i)$

$\sf \dashrightarrow 3x + 4y = 22 \: \: --- (ii)$

By first equation,

$\sf \dashrightarrow 2x + 7y = 45$

$\sf \dashrightarrow 2x = 45 - 7y$

$\sf \dashrightarrow x = \dfrac{45 - 7y}{2}$

Now, let's find the value of y by second equation.

$\sf \dashrightarrow 3x + 4y = 22$

$\sf \dashrightarrow 3 \bigg( \dfrac{45 - 7y}{2} \bigg) + 4y = 22$

$\sf \dashrightarrow \dfrac{135 - 21y}{2} + 4y = 22$

$\sf \dashrightarrow \dfrac{135 - 21y + 8y}{2} = 22$

$\sf \dashrightarrow \dfrac{135 - 13y}{2} = 22$

$\sf \dashrightarrow 135 - 13y = 22 \times 2$

$\sf \dashrightarrow 135 - 13y = 44$

$\sf \dashrightarrow -13y = 44 - 135$

$\sf \dashrightarrow -13y = -91$

$\sf \dashrightarrow y = \dfrac{-91}{-13}$

$\sf \dashrightarrow y = 7$

Now, let's find the value of x by first equation.

$\sf \dashrightarrow 2x + 7y = 45$

$\sf \dashrightarrow 2x + 7(7) = 45$

$\sf \dashrightarrow 2x + 49 = 45$

$\sf \dashrightarrow 2x = 45 - 49$

$\sf \dashrightarrow 2x = -4$

$\sf \dashrightarrow x = \dfrac{-4}{2}$

$\sf \dashrightarrow x = -2$

Hence, the values of x and y are -2 and 7 respectively.

Answer 2

Answer:

thanks..

Step-by-step explanation:

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