Which ordered pair is the best estimate for the solution of the system of equations?


y=−12x+4y=12x−3





(7, 0.5)


(7.5, 0.5)


(7, 1)


(7, 0)


Respuesta :

Answer:

[tex](\frac{7}{24}, 0.5)[/tex]

Step-by-step explanation:

We have the system

[tex]y=-12x+4\\y=12x-3[/tex]

To solve the system we equate the two equations and find the value of x. Then we replace the value found in the first equation.

[tex]-12x+4=12x-3\\4+3=12x+12x\\7=24x\\x=\frac{7}{24}\\y=-12(\frac{7}{24})+4=\frac{-7}{2}+4=\frac{1}{2}=0.5[/tex]

Then the solution of the system is the point [tex](\frac{7}{24}, 0.5)[/tex] which does not correspond to any of the options given.

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