Name the point of intersection for the following system, if it exists.

4x – 3y = -3
3x – y = -6

1 answer

3 x – y = - 6

3 x + 6 = y

y = 3 x + 6

4 x – 3 y = - 3

4 x - 3 ( 3 x + 6 ) = - 3

4 x - 3 * 3 x - 3 * 6 = - 3

4 x - 9 x - 18 = - 3

- 5 x - 18 = - 3

- 5 x = - 3 + 18

- 5 x = 15 Divide both sides by - 5

x = 15 / - 5

x = - 3

y = 3 x + 6

y = 3 * ( - 3 ) + 6

y = - 9 + 6

y = - 3

Point with coordinates:

x = - 3

y = - 3