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Earn +20 ptsQ: If a system of equations has infinite solutions the graph would show what?
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Is The graph of a system of equations with the same slope will have no solutions?
Yes.
What is an equation where the graph of all solutions lies on a line?
There are an infinite number of equations that meet that requirement. One of them is y = x
When you graph a system and all you see is one line how many solutions will the system have?
If you graph a system of two lines and all you see is one line, this means that both lines are the same. Any point on the line is a solution, so the system has an infinite number of solutions.
How many solutions does x plus y equals 4 and 2x plus 2y equals 8 have?
Infinite, both equations are equivalent and all possible solutions can be represented on the graph y = 4 - x
How do you know which region of the graph of a system of linear inequalities contains the solutions?
If the lines intersect, then the intersection point is the solution of the system. If the lines coincide, then there are infinite number of the solutions for the system. If the lines are parallel, there is no solution for the system.
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