A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 2000 seats. The students
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b must be equal to -6 for infinitely many solutions for system of equations and
<u>Solution: </u>
Need to calculate value of b so that given system of equations have an infinite number of solutions
Let us bring the equations in same form for sake of simplicity in comparison
Now we have two equations
Let us first see what is requirement for system of equations have an infinite number of solutions
If and
are two equation
then the given system of equation has no infinitely many solutions.
In our case,
As for infinitely many solutions
Hence b must be equal to -6 for infinitely many solutions for system of equations and