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A system of equations is graphed on a coordinate plane. Which coordinates are the best estimate of the solution to the system of equations? (2, 3) (1, 2) (2, 2) (2, 4)

A system of equations is graphed on a coordinate plane Which coordinates are the best estimate of the solution to the system of equations 2 3 1 2 2 2 2 4 class=

Respuesta :

a solution for a system of equations graph wise, is where they equations intersect or meet.  check the picture below.
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calculista

we have

[tex]5x-y=9[/tex] ---> equation A

[tex]2x+6y=13[/tex] ---> equation B

we know that

The solution of the system of linear equations is the intersection point both graphs

Multiply the equation A by [tex]6[/tex] both sides

[tex]6(5x-y)=6*9[/tex]

[tex]30x-6y=54[/tex] ------> equation C

Adds equation B and equation C

[tex]2x+6y=13\\30x-6y=54\\------- \\2x+30x=13+54 \\32x=67 \\x=67/32 \\x=2.09[/tex]

Find the value of y

substitute in the equation A

[tex]5*2.09-y=9[/tex]

[tex]y=10.47-9=1.47[/tex]

therefore

the answer is

The best estimate of the solution to the system of equations is the point [tex](2,2)[/tex]

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