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Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. x + y = 5 x + y = 7 {} 1 solution infinite

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. x + y = 5 x + y = 7 {} 1 solution infinite
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Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.

x + y = 5
x + y = 7
{}
1 solution
infinite

User Pihentagy
by
8.6k points

1 Answer

3 votes
I believe it would be an empty set. If you graph the two lines, they have the same slope so are parallel but different Y intercepts so don’t intersect at all. This is an empty set, no solution.
User Soulmachine
by
8.0k points
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