Respuesta :

The solution to the system of equations using the linear combination method is (A) (−1, 7).

What is the linear combination method?

  • Linear combination is the process of combining two algebraic equations in such a way that one of the variables is removed.
  • A linear combination can be performed using addition or subtraction.

To find the solution to the system of equations using the linear combination method:

Solve,

[tex]\left\{\begin{array}{l}3 x+y=4 \\2 x+y=5\end{array}\right.[/tex]

Using the linear combination method:

  • If we subtract  2x - y = 5 from 3x + y = 4, then the value of x will be -1.
  • Since only one option (A) has x wo=it value -1 and we know that the correct value of x is -1, then the correct option is (A) (-1, 7) and y = 7.

Therefore, the solution to the system of equations using the linear combination method is (A) (−1, 7).

Know more about the linear combination method here:

https://brainly.com/question/2514996

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The correct question is given below:
What is the solution to the system of equations using the linear combination method? {3x+y=42x+y=5

(A) (−1, 7)

(B) (−3, 12)

(C) (−3, 13)

(D) (0, 4)

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