Question

Given that 9x – 6y= 19
Find y when x=-6
Give your answer as an improper fraction in its simplest form.

Answer 1

$\orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}}$

Given that 9x – 6y= 19

Find y when x=-6

$\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}$

$\red{Equation - > } \\ \blue{9x – 6y= 19} \\ \purple{x = - 6 \: \: (given)}$

$\tiny\pink{SO \: PUTTING \: VALUE} \: \orange{OF \: x \: FOR \: \: VALUE \: OF \: y}$

$\red{Equation - > } \\ \blue{9x – 6y= 19} \\ {9( - 6) – 6y= 19} \\ - 54 - 6y = 19 \\ 6y = - 54 - 19 \\ - 73 = 6y \\ \green{ \frac{ - 73}{6} = y}$

$\red{VARIFICATION - > }$

PUTTING VALUES IN EQUATION TO VARIFY THE ANSWER:-

$\pink{Equation - > } \\ \blue{9x – 6y= 19} \\ \purple{x = - 6 \: \: (given)} \\ \green{y = \frac{ - 73}{6}}$

PUTTING VALUE

$\pink{Equation - > } \\ \blue{9x – 6y= 19} \\ 9( - 6) - 6( \frac{ - 73}{6} ) = 19 \\ - 54 \cancel{-}^{ \tiny{+} } \cancel{6} \frac{ \cancel{- }73}{ \cancel{6}} = 19 \\ - 54 + 73 = 19 \\ 19 = 19 \\ \orange{L.H.S} \purple{=} \green{ R.H.S}$

Answer 2

Answer:

y = 73 / -6

Step-by-step explanation:

Given ;

9x - 6y = 19

Where, x = - 6

Solve for y

9x - 6y = 19

plug the value of x

9 ( -6 ) - 6y = 19

- 54 - 6y = 19

Add 54 to both sides

- 54 + 54 - 6y = 19 + 54

-6y = 73

divide both side by -6

-6y / -6 = 73 / -6

y = 73 / -6