Determine the coordinator of the pointof intersection of lines3x-2y=13 and 2y+x+1=0
1 answer:
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Answer: If the left side and the right side of the equation are equal, the equations has infinitely many solutions.
Step-by-step explanation:
The options are not clear, so I will give you a general explanation of the procedure you can use to solve this exercise.
The Slope-Intercept form of the equation of a line is the following:
Where "m" is the slope and "b" is the y-intercept.
For this exercise you need to remember that, given a System of Linear equations, if they are exactly the same line, then the System of equations has Infinitely many solutions.
If you have the following system:
You can simplify the second one:
Then, both equations are the same line.
By definition you can also write the systemf making both equations equal to each other:
So, if the left side and the right side are equal, the equations has infinitely many solutions.