The two equations provided are:
y = 23x - 1
y = 23x - 2
These equations are parallel lines with the same slope (23) but different y-intercepts (-1 and -2). Since parallel lines never intersect, there are no solutions to this system of equations.
how many sulsions does these have
y = 23x - 1 y = 23x - 2
5 answers
what bout y = 3x + 6 y = -13x - 4
The two equations provided are:
y = 3x + 6
y = -13x - 4
These equations are not parallel, as they have different slopes (3 and -13). To determine the number of solutions, we can set the two equations equal to each other and solve for x:
3x + 6 = -13x - 4
Rearranging the equation:
3x + 13x = -4 - 6
16x = -10
x = -10/16
x = -5/8
Now, substitute the value of x back into one of the original equations to find the corresponding y-value. Using the first equation:
y = 3(-5/8) + 6
y = -15/8 + 48/8
y = 33/8
Therefore, the solution to this system of equations is x = -5/8 and y = 33/8. So, the two equations have one solution.
y = 3x + 6
y = -13x - 4
These equations are not parallel, as they have different slopes (3 and -13). To determine the number of solutions, we can set the two equations equal to each other and solve for x:
3x + 6 = -13x - 4
Rearranging the equation:
3x + 13x = -4 - 6
16x = -10
x = -10/16
x = -5/8
Now, substitute the value of x back into one of the original equations to find the corresponding y-value. Using the first equation:
y = 3(-5/8) + 6
y = -15/8 + 48/8
y = 33/8
Therefore, the solution to this system of equations is x = -5/8 and y = 33/8. So, the two equations have one solution.
what bout y = 23x - 1 y = 23x - 2
Apologies for the previous incorrect response. Let's reconsider the given equations:
y = 23x - 1
y = 23x - 2
Both equations have the same slope of 23, but different y-intercepts (-1 and -2).
Since the slopes are the same, the lines are parallel. Parallel lines do not intersect, so there are no common points between the lines. Therefore, this system of equations also has no solution.
y = 23x - 1
y = 23x - 2
Both equations have the same slope of 23, but different y-intercepts (-1 and -2).
Since the slopes are the same, the lines are parallel. Parallel lines do not intersect, so there are no common points between the lines. Therefore, this system of equations also has no solution.