No solution
Provide a system of equations in slope-intercept form that has one solution. Using complete sentences, explain why this system has one solution.
If they have the same slope, then there are two possibilities. First say they have the same slope and different y intercepts. This means they are parallel lines and there is no intersection. The solution is the empty set or we say there is no solution.If the y intercept is the same, then the two equations represent the same line. In this case there is an infinite number of solutions.
No the only time that a system of equations would have no solutions is when the two equations have the same slope but different y-intercepts which would mean that they are parallel lines. However, if they have different slopes and different y-intercepts than the solution would be where the two lines intersect.
If the equations are in y= form, set the two equations equal to each other. Then solve for x. The x value that you get is the x coordinate of the intersection point. To find the y coordinate of the intersection point, plug the x you just got into either equation and simplify so that y= some number. There are other methods of solving a system of equations: matrices, substitution, elimination, and graphing, but the above method is my favorite!
4/5
-1
7
The solution of the system of linear equations ( x = 0 ) and ( y = 0 ) is the single point (0, 0) in the Cartesian coordinate system. This point represents the intersection of the two equations, where both variables are equal to zero. Thus, the only solution is the origin.
x=3
x = y = 3
The pair of equations have one ordered pair that is a solution to both equations. If graphed the two lines will cross once.
x = 1 and y = 2
That system of equations has no solution. When the two equations are graphed, they turn out to be the same straight line, so there's no such thing as a single point where the two lines intersect. There are an infinite number of points that satisfy both equations.
there is no linear equations that has no solution every problem has a solution
Check your text book for how to solve it.
{-1,-2}
A system of equations with exactly one solution intersects at a singular point, and none of the equations in the system (if lines) are parallel.