3x + y - 8 = 0
-2x + by + 9 = 0
y = -3x + 8
by = 2x - 9
y = -3x + 8
y = (2/b)x - 9/b
Since the lines, represented by these equations, are perpendicular, their slopes are negative reciprocal of each other. So that 2/b must be equal to 1/3.
2/b = 1/3
b = 6
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Inconsistent linear equations in two variables.
When (the graph of the equations) the two lines intersect. The equations will tell you what the slopes of the lines are, just look at them. If they are different, then the equations have a unique solution..
Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.
When x = -2 then y = 4 which is the common point of intersection of the two equations.
These are two expressions, not equations. Expressions do not have solutions, only equations do. NB equations include the equals sign.