Question 177489


{{{6x+3y=4.5}}} Start with the given equation.



{{{3y=4.5-6x}}} Subtract {{{6x}}} from both sides.



{{{3y=-6x+4.5}}} Rearrange the terms.



{{{y=(-6x+4.5)/(3)}}} Divide both sides by {{{3}}} to isolate y.



{{{y=((-6)/(3))x+(4.5)/(3)}}} Break up the fraction.



{{{y=-2x+1.5}}} Divide.



{{{f(x)=-2x+1.5}}} Now replace "y" with f(x). The equation is now in function form.



{{{f(5)=-2(5)+1.5}}} Plug in {{{x=5}}}.



{{{f(5)=-10+1.5}}} Multiply {{{-2}}} and {{{5}}} to get {{{-10}}}.



{{{f(5)=-8.5}}} Combine like terms.