Equation Solutions: How to Find Solutions for (6-2x-2y=0)

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To find solutions for the equation 6 - 2x - 2y = 0, one can express y in terms of x, resulting in y = 3 - x. Alternatively, x can be expressed in terms of y as x = 3 - y. This indicates that the solutions form a linear relationship, where for every value of x, there is a corresponding value of y, and vice versa. The solution set represents a line in a two-dimensional space. Understanding this relationship is key to solving similar linear equations.
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how do you find solutions to an equation like this (6-2x-2y=0)?
 
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kingyof2thejring said:
how do you find solutions to an equation like this (6-2x-2y=0)?
You can write it in a way so that one variable is dependent on the other:

ie)
y = \frac{-6 + 2x}{-2}

or

x = \frac{-6+2y}{-2}

So for the first one you have a function, f(x) that for every f(x=value) you have a solution.
 
The solution set to that equation is a line, namely y=3-x.
 
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