Question 212059
I was givien the following problem:


Write the equation 2x+3y=9 in function form and find f(-1) and f(6)


Step 1.  Solve for y, such that y=f(x) where f(x) is a function of x.


Step 2.  Subtract 2x in both sides of equation


{{{2x+3y-2x=9-2x}}}


{{{3y=9-2x}}}


Step 3.  Divide 3 in both sides of equation


{{{3y/3=(9-2x)/3}}}


{{{y=3-2x/3}}}


{{{y=f(x)=3-2x/3}}}


Step 4.  f(-1) implies x=-1


{{{y=f(-1)=3-2(-1)/3=3+2/3}}}

{{{y=f(-1)=9/3+2/3=11/3}}}


Step 5.  f(6) implies x=6


{{{y=f(6)=3-2(6)/3=3+2*2=7}}}


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