Respuesta :
2x+3y=-18
multiply both sides by 3
3y=3(-2/3x-6)
simplify
3y=-2x-18
move terms with variables to the left side of the equation
2x+3y=-18
multiply both sides by 3
3y=3(-2/3x-6)
simplify
3y=-2x-18
move terms with variables to the left side of the equation
2x+3y=-18
The equation in the standard from is 2x + 3y = -18.
What is the linear equation?
The linear equation is the algebraic form of equation whose variable has the exponent of one. It is the combination of two variables and a constant value present in them.
For the given situation,
The equation is y = -2/3 x - 6
The standard form of linear equation is Ax +By = C,
where A,B,C are numbers and x,y are intercepts.
⇒ [tex]y=\frac{-2}{3}x -6[/tex]
Taking LCM on RHS,
⇒ [tex]y=\frac{-2x-18}{3}[/tex]
⇒ [tex]3y=-2x-18[/tex]
Rearrange the equation in the standard from,
⇒ [tex]2x+3y=-18[/tex]
Hence we can conclude that the equation in the standard from is 2x + 3y = -18.
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