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Solve the following system of equations by substitution and select the correct answer below: 4x − 6y = 28 8x − 4y = 24

Respuesta :

According to my calculation it should be C: x=  1 and y = - 4
NOTE: I had it right on my online class.
calculista

Answer:

the solution is the point [tex](1,-4)[/tex]

Step-by-step explanation:

we have

[tex]4x-6y=28[/tex]

isolate the variable x

[tex]4x=28+6y[/tex]

[tex]x=7+1.5y[/tex] -----> equation A

[tex]8x-4y=24[/tex] -----> equation B

substitute the equation A in equation B

[tex]8(7+1.5y)-4y=24[/tex]

[tex]56+12y-4y=24[/tex]

[tex]12y-4y=24-56[/tex]

[tex]8y=-32[/tex]

[tex]y=-4[/tex]

Find the value of x

[tex]x=7+1.5(-4)=1[/tex]

the solution is the point [tex](1,-4)[/tex]

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