Mathematics, 04.06.2021 22:00 Perez1957

Gabriela wants to show that the following is true by example. Given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

She begins with the system of linear equations below.

6x − 2y = −4
2x + y = −8

She then multiplies the second equation by 3. What should she do next?

A. Add 6x – 2y = – 4 to 2x + y = – 8.
B. Add 6x + 3y = – 24 to 6x – 2y = – 4.
C. Multiply 2x + y = – 8 by 2 and add to 6x − 2y = − 4.
D. Multiply 6x – 2y = – 4 by 3 and add to 6x + 3y = −24.

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