Question

I have major issues with problems like these,please I need help.

For these systems of linear equations in questions
-Determine how many solutions exist
-Use either elimination or substitution to find the solutions (if any)
1. y = 2x + 3 and y = -x - 4

2. 2x + 3y = 8 and 3x + 2y = 7

3. x + y = 3 and y = x + 3

Answer 1

as long as the slopes are different, there will be exactly one solution. That is true for all three of these pairs, with solutions

(-7/3,-5/3)
(1,2)
(0,3)