Which ordered pair is a solution to the equation 3x+2y=63x+2y=6 ? (−10,−12)(−10,−12) (−10,12)(−10,12) (10,12)(10,12) (10,−12)

Respuesta :

I guess the equation is 3x+2y=6, y=3-3x/2. When x=10, y=-12 so (10,-12) is a solution, last option

The given equation is

[tex] 3x+2y=6 [/tex]

To check Which ordered pair is a solution to the above equation.

we will substitute the given pair one by one to see which one satisfy.

check: [tex] (-10,-12) [/tex]

[tex] 3(-10)+2(-12)=-30-24=-54\neq6\\
\\
\text{Hence this is not the solution}\\
\\
\text{Check :(-10,12)}\\
\\
\
3(-10)+2(12)=-30+24=-6\\
\\
\text{Hence this is not the solution}\\
\\
\text{Check: (10,12)}\\
\\
3(10)+2(12)=30+24=54\\
\\
\text{Hence this is not the solution}\\
\\
\text{check: (-10,12)}\\
\\
3(10)+2(-12)=30-24=6\\
\\
\text{Hence this is the solution}\\ [/tex]

Hence the solution is (10,-12)

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