consider the following system of equations y=3x-7 andy-3x=5
what can you conclude about the system of equations
Y = 3x-7
Y = 3x+5
Each has a slope of 3.
Y-intercepts are -7 and 5.
Solve the following systems:
×+z=2
2×+y=3
×-y+z=1
To analyze the system of equations, let's rearrange the second equation to isolate 'y':
y - 3x = 5
We can rewrite it as:
y = 3x + 5
Now we have two equations:
y = 3x - 7
y = 3x + 5
By comparing the two equations, we see that the slopes of both equations are the same (3x), which means the lines are parallel.
However, the y-intercepts are different (-7 for the first equation and +5 for the second equation), indicating that the lines do not intersect.
Therefore, we can conclude that the system of equations is inconsistent.