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:
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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)