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
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.
Inconsistent linear equations in two variables.
The two equations represent the same straight line.
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..
My guess as to what you are asking is what are the two different kinds of lines? If so, the two kinds of lines are parallel and perpindicular. Parallel is two lines that have the same slope, or in other words, could go on forever and not touch. An equals sign (=) is an example of this. If you drew lines on the two lines of the equals sign, and they were straight, they would, in theory, never touch. Perpindicular lines, however, is the opposite. It is two lines that form 90 degree angles or right angles. An example of this is a plus sign (+). The two lines that form the plus sign are perpindicular lines. My guess as to what you are asking is what are the two different kinds of lines? If so, the two kinds of lines are parallel and perpindicular. Parallel is two lines that have the same slope, or in other words, could go on forever and not touch. An equals sign (=) is an example of this. If you drew lines on the two lines of the equals sign, and they were straight, they would, in theory, never touch. Perpindicular lines, however, is the opposite. It is two lines that form 90 degree angles or right angles. An example of this is a plus sign (+). The two lines that form the plus sign are perpindicular lines.
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.
None. When these two equations are graphed, the two lines are parallel. Since they never intersect, there is no point that satisfies both equations.
x=3
Two equations: a linear one in y and a quadratic in x.
There are two equations in the question, not one. They are the equations of intersected lines, and their point of intersection is their common solution.
Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.