A linear equation is the equation of a straight line. The solution to the system of linear equations is infinitely many solutions.
There are two straight lines on the attached graph. The lines are:
- The black line
- The red line
And both lines lie on one another,
This means that, both lines have the following features:
- The same slope
- The same intercepts
When lines have the above features to be the same, it means the equations of both lines are the same.
And as such, the solution to the system is infinitely many solutions.
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