Question

x/6+y/5=9/10 -x/9+y/7=-1/21 solve by elimination method
pls reply fast​

Answer 1

Answer:

$\huge{\boxed{\boxed{\sf{x=2.88\:and\:y=2.1}}}}$

Step-by-step explanation:

$\huge{\boxed{\boxed{\underline{\sf{SOLUTION-}}}}}$

$\huge{\boxed{\boxed{\underline{\sf{ELIMINATION\:METHOD-}}}}}$

$\frac{x}{6} + \frac{y}{5} = \frac{9}{10} \\ \frac{5x + 6y}{30} = \frac{9}{10} \\ 5x + 6y = 27 - - - - - (1) \\ \frac{ - x}{9} + \frac{y}{7} = \frac{ - 1}{21} \\ \frac{ - 7x + 9y}{27} = \frac{ - 1}{21} \\ - 7x + 9y = \frac{ - 27}{21} \\ (- 7x + 9y) = \frac{9}{7} \\ 7x - 9y = \frac{9}{7} - - - - - (2) \\ multiplying \: 9 \: in \: (1) \: and \: 6 \: in \: (2) \\ 45x + 54y = 243 - - - - - (3) \\ 42x - 54y = \frac{54}{7} - - - - - (4) \\ adding \:( 3) \: and \: (4) \\ = )87x = \frac{1755}{7} \\ = )x = \frac{1755}{7 \times 87} \\ = )x = 2.88 \\ putting \: value \: of \: x \: in \: (3) \\ 45x + 54y = 243 \\ = )45 \times 2.88 + 54y = 243 \\ = )129.6 + 54y = 243 \\ = )54y = 243 - 129.6 \\ = )y = \frac{113.4}{54} \\ = )y = 2.1$

$\huge{\boxed{\boxed{\sf{x=2.88\:and\:y=2.1}}}}$