elimination was used to solve a system of equations. one of the intermediate steps led to the equation 2x= 8. which of the follo

Question

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elimination was used to solve a system of equations. one of the intermediate steps led to the equation 2x= 8. which of the follo

wing systems could have led to this equation?

Mathematics

1 answer:

konstantin123 [22] · Answer 1 · 2022-03-29T02:02:20+03:00

9514 1404 393

Answer:

C

Step-by-step explanation:

The step shown indicates that y was eliminated from the equations. For choices A, B, D, this is done by adding the equations together (the y-coefficients are opposites). The result of doing that gives x-terms of 4x, 0x, and 0x, respectively. These x-terms do not match the one given: 2x.

For choice C, the y-term is eliminated by subtracting twice the second equation from the first. Doing that gives ...

(4x +2y) -2(x +y) = (14) -2(3)

4x +2y -2x -2y = 14 -6 . . . . eliminate parentheses

2x = 8 . . . . . . . . . . . . . . collect terms