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Answered

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Solving Literal equations
Solving equation for y
2x - 3y = 6

Sagot :

2x - 3y = 6

-3y = 6 - 2x

y = (6-2x)/(-3)

y = 6/-3   -     2x / -3

y = -2 + (2/3)x

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Explaination :

Given equation,

  • 2x - 3y = 6

Our aim is to solve the given equation and get out the value of y.

Transposing the 2x which is in L.H.S. to R.H.S.,

[tex]\implies \: \displaystyle{ \sf{2x - 3y = 6}} \\ \\ \implies \: \displaystyle{ \sf{- 3y \: = \: 6 - 2x}} \\ \\ \implies \: \displaystyle{ \sf{3y \: = \: 2x - 6}}[/tex]

Dividing the R.H.S. with 3,

[tex]\implies \: \displaystyle{\sf{y \: = \: \dfrac{2x - 6}{3}}} \\ \\ \implies \: \displaystyle{ \red{\bf{y \: = \: \dfrac{2x}{3} \: - \: \dfrac{6}{3} }}}[/tex]

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