Which ordered pair is the solution to the system of linear equations y = negative 7 x + 2 and y = 9 x minus 14? (negative 5, 1) (1, negative 5) (5, negative 1) (Negative 1, 5)

Respuesta :

Answer:

B. [tex](1,-5)[/tex]

Step-by-step explanation:

We have been given a system of equations. We are asked to choose the ordered par that is the solution to the given system.

[tex]y=-7x+2...(1)[/tex]

[tex]y=9x-14...(2)[/tex]

To solve our given system, we will equate both equations as:

[tex]9x-14=-7x+2[/tex]

Combine like terms:

[tex]9x+7x-14+14=-7x+7x+2+14[/tex]

[tex]16x=16[/tex]

[tex]x=\frac{16}{16}=1[/tex]

Upon substituting [tex]x=1[/tex] in equation (1), we will get:

[tex]y=-7(1)+2\\\\y=-7+2\\\\y=-5[/tex]

Therefore, the ordered pair [tex](1,-5)[/tex] is the solution of the given system and option B is the correct choice.

Answer:

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Step-by-step explanation: