Question 82422
Start with (0,y)

Plug in x=0


{{{3(0)+4y=12}}} Plug in x=0 (one of the given pairs)


{{{0+4y=12}}} Multiply


{{{4y=12}}} 


{{{y=3}}} Divide both sides by 4


So we get one ordered pair (0,3)

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Now lets work with (x,3/4)

Plug in {{{y=3/4}}}


{{{3x+4(3/4)=12}}} Plug in {{{y=3/4}}} (one of the given pairs)


{{{3x+3=12}}} Multiply


{{{3x=9}}} Subtract 3 from both sides

{{{x=3}}} Divide both sides by 3


So we get one ordered pair (3,3/4)

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Now lets work with (x,0)

Plug in {{{y=0}}}


{{{3x+4(0)=12}}} Plug in {{{y=0}}} (one of the given pairs)


{{{3x+0=12}}} Multiply


{{{3x=12}}} 

{{{x=4}}} Divide both sides by 3


So we get one ordered pair (4,0)

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Now lets work with (8/3,y)

Plug in {{{x=8/3}}}


{{{3(8/3)+4y=12}}} Plug in {{{x=8/3}}} (one of the given pairs)


{{{8+4y=12}}} Multiply


{{{4y=4}}} Subtract 8 from both sides

{{{y=1}}} Divide both sides by 3


So we get one ordered pair (8/3,1)

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So to summarize, we have the ordered pairs as solutions:


(0,3), (3,3/4), (4,0), (8/3,1)