Question

11x + 6 y= -21 and 6x +11y =4 solve
$11x + 6y = - 21 \\ 6x + 11y = 4$
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Answer 1

Step-by-step explanation:

$\color{red} \tt11x+6y=-21 \: \: \: , \: \: \: 6x+11y=4$

$\tt \color{blue}11x+6y=-21$

$\tt \color{maroon}x=\dfrac{1}{11}\left(-6y-21\right)$

$\tt \color{purple}x=-\dfrac{6}{11}y-\dfrac{21}{11}$

$\tt \color{darkred}6\left(-\dfrac{6}{11}y-\dfrac{21}{11}\right)+11y=4$

$\tt \color{darkorange}-\dfrac{36}{11}y-\dfrac{126}{11}+11y=4$

$\tt \color{darkcyan}\dfrac{85}{11}y-\dfrac{126}{11}=4$

$\tt \color{navy}\dfrac{85}{11}y=\dfrac{170}{11}$

$\tt \color{green}y=2$

$\tt \color{darkgreen}x=-\dfrac{6}{11}\times 2-\dfrac{21}{11}$

$\tt \color{darkviolet}x=\dfrac{-12-21}{11}$

$\red{ \overline{ \underline{ \boxed{ \tt \color{magenta}x=-3 }}}}$