Question

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)

Answer 1

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).