Question

solve x and y 4x-2/y=22 ; 3x+3/y=-6. best answer will e marked as BRAINLIEST​

Answer 1

mark as brainliest if it helped

Answer 2

Answer

$\sf \dashrightarrow \dfrac{4x - 2}{y} = 22 \: \: --- (i)$

$\sf \dashrightarrow \dfrac{3x + 3}{y} = -6 \: \: --- (ii)$

By first equation,

$\sf \dashrightarrow \dfrac{4x - 2}{y} = 22$

$\sf \dashrightarrow 4x - 2 = 22y$

$\sf \dashrightarrow 4x = 22y + 2$

$\sf \dashrightarrow x = \dfrac{22y + 2}{4}$

Now, we can find the value of y by second equation.

$\sf \dashrightarrow \dfrac{3x + 3}{y} = 6$

$\sf \dashrightarrow \dfrac{3 \bigg( \dfrac{22y + 2}{4} \bigg) + 3}{y} = -6$

$\sf \dashrightarrow \dfrac{\dfrac{66y + 6}{4} + 3}{y} = -6$

$\sf \dashrightarrow \dfrac{\dfrac{66y + 6 + 12}{4}}{y} = -6$

$\sf \dashrightarrow \dfrac{66y + 18}{4} = -6y$

$\sf \dashrightarrow 66y + 18 = -24y$

$\sf \dashrightarrow -24y - 66y = 18$

$\sf \dashrightarrow -90y = 18$

$\sf \dashrightarrow y = \dfrac{18}{-90}$

$\sf \dashrightarrow y = \dfrac{-1}{5}$

Now, we can find the value of x by first equation.

$\sf \dashrightarrow \dfrac{4x - 2}{y} = 22$

$\sf \dashrightarrow \dfrac{4x - 2}{\dfrac{-1}{5}} = 22$

$\sf \dashrightarrow 4x - 2 = 22 \times \dfrac{5}{-1}$

$\sf \dashrightarrow 4x - 2 = -110$

$\sf \dashrightarrow 4x = -110 + 2$

$\sf \dashrightarrow 4x = -108$

$\sf \dashrightarrow x = \dfrac{-108}{4}$

$\sf \dashrightarrow x = -27$

Hence, the values of x and y are -27 and $\sf \dfrac{-1}{5}$ respectively.