Question

Given that 9x – 6y= 19

Find y when x=-6
Give your answer as an improper fraction in its simplest form.

Answer 1

y = 73 / -6

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

Answer 2

`\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{ ( - 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 = ( - 73)/(6)}`

PUTTING VALUE

`\pink{Equation - > } \\ \blue{9x – 6y= 19} \\ 9( - 6) - 6( ( - 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}`