Question

Question #ded82

Answer 1

The solution is the intersection point of the two lines `(2, -3)`

Explanation:

Multiply the second equation by `-2` and add it to the first equation to eliminate the `x`-term:

1. `2x - 3y = 13`
2. `-2x -4y = 8`
3. Add equation 1 + equation 2: `-7y = 21`
4. Divide by `-7` to solve for `y`: `y = 21/-7 = -3`
5. Substitute `y` into equation 1 and solve for `x`:
   `2x -3(-3)=13`
   `2x +9 = 13`
   `2x = 4`
   `x = 2`

The solution is the intersection point of the two lines `(2, -3)`