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solve the following system of equations express your answers as an ordered pair in the format (a,b) with no spaces between the number of symbols 3x+4y=16 -4x-3y=-19

Respuesta :

laserlightfocus
The answer to your question is (4,1)
SociometricStar

Answer:

(4,1)

Step-by-step explanation:

The system of equations is

[tex]3x+4y=16......(1)\\-4x-3y=-19.....(2)[/tex]

Multiply equation(1) by 4 and equation (2) by 3 and then add

[tex]12x-12x+16y-9y=64-57\\7y=7\\y=1[/tex]

Plugging the value of y in equation (1)

[tex]3x+4(1)=16\\3x+4=16\\3x=12\\x=4[/tex]

Hence, the solution to the given system of equation is (4,1)

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