Question

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

Answer 1

2x - 3y = 6

-3y = 6 - 2x

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

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

y = -2 + (2/3)x

Answer 2

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.,

`\implies \: \displaystyle{ \sf{2x - 3y = 6}} \\ \\ \implies \: \displaystyle{ \sf{- 3y \: = \: 6 - 2x}} \\ \\ \implies \: \displaystyle{ \sf{3y \: = \: 2x - 6}}`

Dividing the R.H.S. with 3,

`\implies \: \displaystyle{\sf{y \: = \: (2x - 6)/(3)}} \\ \\ \implies \: \displaystyle{ \red{\bf{y \: = \: (2x)/(3) \: - \: (6)/(3) }}}`