write the linear equation as a function of x and y 2x+3y+z=12

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Well, for starters, this is not the equation of a line, but instead of a plane, but let's pretend it just says equation and not "linear equation."So what you are being asked to do here is solve for z, in terms of x and y ("in terms of" meaning the same things as "as a function of")To solve for a variable (see literal equations), we need to get z all by itself.  Subtract (2x + 3y) from both sides to get:z = 12 - 2x - 3y