+118723 There is no reason to think that this is intended as a diophantine equation, nothing about integer nly solutions is mentioned. :)
Hayley, you have rearranged the equation correctly which is really good but wouldn't it be mor normal to change it to y=..... ?
What's 6x+3y=-12
This is the equation of a line.
This is what the graph looks like
+8581 Simplifying
6x + 3y = -12
Solving
6x + 3y = -12
Solving for variable 'x'
. Move all terms containing x to the left, all other terms to the right.
Add '-3y' to each side of the equation.
6x + 3y + -3y = -12 + -3y
Combine like terms: 3y + -3y = 0
6x + 0 = -12 + -3y
6x = -12 + -3y
Divide each side by '6'
. x = -2 + -0.5y
Simplifying
x = -2 + -0.5y
This is called a linear Diophantine Equation. It has infintely many solutions in whole integers.
Such as: x=1, y=-6, x=2, y=-8, x=-4, y=4..........and so on.
+118723 There is no reason to think that this is intended as a diophantine equation, nothing about integer nly solutions is mentioned. :)
Hayley, you have rearranged the equation correctly which is really good but wouldn't it be mor normal to change it to y=..... ?
What's 6x+3y=-12
This is the equation of a line.
This is what the graph looks like
