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Which point is the solution to the system of linear equations? y = 2x − 4 y = 3x − 2

1. (1, −5)
2. (2, 0)
3. (−2,-8)
3. (1, −3)

1 Answer

2 votes

Answer:

3. (-2, -8)

Explanation:

You want the point that is the solution to the system of equations ...

  • y = 2x -4
  • y = 3x -2

Solution

We can equate the expressions for y to solve for x:

2x -4 = 3x -2

-4 = x -2 . . . . . . . subtract 2x from both sides

-2 = x . . . . . . . . add 2 to both sides

This eliminates all answer choices except 3: (-2, -8).

Which point is the solution to the system of linear equations? y = 2x − 4 y = 3x − 2 1. (1, −5) 2. (2, 0) 3. (−2,-8) 3. (1, −3)-example-1
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