To find the solution of two equations graphed on a coordinate plane, look for the point where the two lines intersect. This point represents the values of the variables that satisfy both equations simultaneously. The coordinates of this intersection point are the solution to the system of equations. If the lines are parallel, there is no solution; if they are the same line, there are infinitely many solutions.
They will be a set of lines meeting at one point - the solution.
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.
X = 8That equation has exactly one solution.The solution is:x = 8
the solution to a system is where the two lines intersect upon a graph.
They will be a set of lines meeting at one point - the solution.
-1
There is only one equation - possibly due to the limitations of the browser. There are not enough equations to derive a solution.
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.
x - 2y = -6 x - 2y = 2 subtract the 2nd equation from the 1st equation 0 = -8 false Therefore, the system of the equations has no solution.
In what quadrants are the solution points for y < -3 graphed in the rectangular coordinate system?
Without a second independent equation, it's not a 'system' yet.
-2
It is a simultaneous equation and its solution is x = -1 and y = -5
X = 8That equation has exactly one solution.The solution is:x = 8
the solution to a system is where the two lines intersect upon a graph.
Substitution method: from first equation y = 5x - 8. In the second equation this gives 25x - 5(5x - 8) = 32 ie 25x - 25x + 40 = 32 ie 40 = 32 which is not possible, so the system has no solution. Multiplication method: first equation times 5 gives 25x - 5y = 40, but second equation gives 32 as the value of the identical expression. No solution.