Answer:
[tex]x-3y=21[/tex]
Step-by-step explanation:
The standard form of a linear equation is [tex]Ax+By=C[/tex]
STEP 1: Multiply both sides by [tex]3[/tex].
STEP 2: Simplify [tex]3(y+6).[/tex]
STEP 3: Simplify again.
STEP 4: Rewrite the equation with the sides flipped.
STEP 5: Move all terms containing variables to the left side of the equation.
STEP 6: Move all terms not containing a variable to the right side of the equation.
Rearranging the equation given to conform with the standard form of an equation, the expression becomes -x + 3y = - 21
The standard form of expression a linear equation is given as :
Given the expression : y + 6 = 1/3(x - 3)
Multiply both sides by 3
3(y + 6) = x - 3
3y + 18 = x - 3
Move x and y to the same side and the constant to the other.
3y - x = - 3 - 18
-x + 3y = - 21
Hence, the standard form of the equation is - x + 3y = - 21
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