Question

solve this by substitution method
$7x - 15y = 2 \\ x = 3 - 2y$
give correct Answer ​

Answer 1

$\boxed{\underline{ \underline{\footnotesize \pink \leadsto\tt{Given:-}}}} \: \bigstar$

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$\pink\leadsto \footnotesize \tt{x = 3 - 2y}$

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$\boxed{\underline{ \underline{\footnotesize \pink \leadsto\tt{Solution:-}}}} \: \bigstar$

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$\pink\leadsto \footnotesize \tt{7x - 15y = 2}$

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x value is already given so just substitute the value of x in above equation.

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$\pink\leadsto \footnotesize \tt{7(3 - 2y) - 15y = 2}$

$\pink\leadsto \footnotesize \tt{21 - 14y - 15y = 2}$

$\pink\leadsto \footnotesize \tt{- 14y - 15y = 2 - 21}$

$\pink\leadsto \footnotesize \tt{-29y = - 19}$

$\pink\leadsto \footnotesize\tt{y = \frac{ - 19}{ - 29} }$

$\pink\leadsto \footnotesize\tt{y = \frac{ \cancel- 19}{ \cancel- 29} }$

$\boxed{ \underline{ \underline{\pink\leadsto \footnotesize\tt{y = \frac{19}{ 29} }}}} \: \bigstar$

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Now substitute the value of y in x = 3 - 2y

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$\pink\leadsto \footnotesize \tt{x = 3 - 2y}$

$\pink\leadsto \footnotesize \tt{x = 3 - 2 \times \frac{ 19}{29} }$

$\pink\leadsto \footnotesize \tt{x = 3 - \frac{38}{29} }$

$\pink\leadsto \footnotesize \tt{x = \frac{87 - 38}{29} }$

$\boxed{\underline{ \underline{\footnotesize \pink \leadsto\tt{x = \frac{49}{29} }}}} \: \bigstar$

Answer 2

Hope Helps!!~

y = 19/29

x = 49/29