To graph the system of equations y = -5 + x and y = x - 5, we can plot the lines representing each equation on the same coordinate plane.
The first equation y = -5 + x can be rewritten as y = x - 5. This equation represents a line with a y-intercept of -5 and a slope of 1 (since the coefficient of x is 1).
The second equation y = x - 5 also represents a line with a y-intercept of -5 and a slope of 1.
Both equations represent the same line, thus they are coincident and there are infinitely many solutions.
The solution to this system of equations is: infinitely many solutions.
Here is a system of equations.
y=-5+x
y=x-5
Graph the system. Then write its solution. Note that you can also answer "No solution" or "Infinitely many" solutions.
3 answers
You sure?
Let's double check our work.
The two equations are:
1. y = -5 + x
2. y = x - 5
Subtracting equation 1 from equation 2, we get:
(-5 + x) - (x - 5) = 0
-5 + x - x + 5 = 0
0 = 0
This result indicates that the two equations are actually the same equation, and when graphed, they will coincide perfectly.
Let's plot the graph:
The graph of both equations on a coordinate plane will show a single line passing through the points (-5, -5) and (0, -5). This confirms the solution is infinitely many solutions.
Therefore, the solution to this system of equations is infinitely many solutions.
The two equations are:
1. y = -5 + x
2. y = x - 5
Subtracting equation 1 from equation 2, we get:
(-5 + x) - (x - 5) = 0
-5 + x - x + 5 = 0
0 = 0
This result indicates that the two equations are actually the same equation, and when graphed, they will coincide perfectly.
Let's plot the graph:
The graph of both equations on a coordinate plane will show a single line passing through the points (-5, -5) and (0, -5). This confirms the solution is infinitely many solutions.
Therefore, the solution to this system of equations is infinitely many solutions.