Answer:
Explanation:
It is two lines, if they intersect there is one solution, if parallel- no solution, if same lines- infinitely many solutions
Lets put them in slope-intercept form and compare:
- x + 2y = 6 ⇒ 2y = -x + 6 ⇒ y = -1/2x + 3
- 2x - 3y = 26 ⇒ 3y = 2x - 26 ⇒ y = 2/3x - 26/3
As we see the lines have different slopes, so they intersect which means one solution only.