Question

x+3y = 16
2x + 3y = 4​

Answer 1

The answer is y=28/3

x=-12

Answer 2

Answer:

$\huge{\pink{\boxed{\green{\sf{x=4}}}}}$

$\huge{\pink{\boxed{\green{\sf{y=\frac{28}{3}}}}}$

Step-by-step explanation:

$\huge{\pink{\boxed{\green{\underline{\red{\sf{SOLUTION-}}}}}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \orange{given}} \\{\pink{\boxed{\green{x + 3y = 16 - - - - - (1)}}}} \\ {\pink{\boxed{\green{2x + 3y = 4 - - - - - (2)}}}} \\ \\ \: \: \: {\blue{to \: find}} \\ { \purple{ \boxed{ \red {x \: and \: y = }}}}$

☆ Multiply 2 in (1) and 1 in (2)

$2x + 6y = 32 - - - - - (3) \\ 2x + 3y = 4 - - - - - - (4)$

☆ Subtract (4) from (3)

$\to \: 2x + 6y - ( 2x + 3y) = 32 - 4 \\ \to \: 2x + 6y - 2x - 3y = 28 \\ \to \: 3y = 28 \\ \to {\boxed{ y = \frac{28}{3}}} \\ \\ putting \: value \: of \: y \: in \: (1) \\ \to \: x + 3y = 32 \\ \to \: x + 3 \times \frac{28}{3} = 32 \\ \to \: x + 28 = 32 \\ \to \: x = 32 - 28 \\ \to {\boxed{ x = 4}}$

$\huge{\pink{\boxed{\green{\sf{x=4}}}}$

$\huge{\pink{\boxed{\green{\sf{y=\frac{28}{3}}}}}}$