Solve the following system of linear equation using any algebraic method. If possible check your solution.

Question

yoyo2443 · Answer

$$6y=15-9x$$
$$6x=10-4y$$

dumbcow · Answer

First rewrite in standard form (Ax + By = C)

9x  + 6y  = 15
6x  + 4y  = 10

Next factor out greatest common factor from each equation

3x  + 2y  = 5
3x  +2y  = 5

Notice they are now the exact same equation
This means they are the same line so the 2 lines intersect at all points.
Infinite solutions

yoyo2443 · Answer

Oooh alright, so there isn't any exact solution for it?

dumbcow · Answer

No every possible point is a solution

yoyo2443 · Answer

oh right right, thanks!