Various cases of system of linear equations in two variables:
Case 1
a/a' is NOT = b/b'
The system of equations are consistent and represent intersecting lines. The system has exactly one solution.
e.g. 2x + 3y = 5, 3x - y = 2 (equations are consistent and have exactly one solution which is x=1, and y=1)
Case 2:
When a/a' = b/b' = c/c'
The two equations are essentially the same and represent the same line. The system has infinite solutions.
e.g. 2x + 3y = 5, 4x + 6y = 10 (equations are consistent and have infinite solutions which are x, (5-2x)/3)
Case 3
a/a' = b/b' is NOT = c/c'
The system of equations are inconsistent and represent parallel lines. The system has no solution.
e.g. 2x + 3y = 5, 4x + 6y = 8 (equations are inconsistent and have no solution
Welcome to Expert Math! Do you have a child who needs a little extra help with high school Math? Or do you want your child to get ahead of the curve? If you want your child to catch up or get ahead, give Expert Math a call! We have a team of Math Experts, each with more than a decade of experience. Our rates are reasonable and become all the more attractive as the group grows. So, if you need a helping hand, don't be afraid to reach out to the Math Experts! We're here to help your child learn and grow.
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Subjects: Calculus, Vectors, Probability, Advanced Functions
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ax + by = c
a'x + b'x = c'
Case 1
a/a' is NOT = b/b'
The system of equations are consistent and represent intersecting lines. The system has exactly one solution.
e.g. 2x + 3y = 5, 3x - y = 2 (equations are consistent and have exactly one solution which is x=1, and y=1)
Case 2:
When a/a' = b/b' = c/c'
The two equations are essentially the same and represent the same line. The system has infinite solutions.
e.g. 2x + 3y = 5, 4x + 6y = 10 (equations are consistent and have infinite solutions which are x, (5-2x)/3)
Case 3
a/a' = b/b' is NOT = c/c'
The system of equations are inconsistent and represent parallel lines. The system has no solution.
e.g. 2x + 3y = 5, 4x + 6y = 8 (equations are inconsistent and have no solution
Welcome to Expert Math! Do you have a child who needs a little extra help with high school Math? Or do you want your child to get ahead of the curve? If you want your child to catch up or get ahead, give Expert Math a call! We have a team of Math Experts, each with more than a decade of experience. Our rates are reasonable and become all the more attractive as the group grows. So, if you need a helping hand, don't be afraid to reach out to the Math Experts! We're here to help your child learn and grow.
Visit http://www.expertmath.ca
Service offered in: Richmond Hill, Thornhill, North York, Toronto, Markham, Vaughan
Subjects: Calculus, Vectors, Probability, Advanced Functions
Specialized tutoring in IB Mathematics, AP Mathematics, Academic Mathematics, Applied Mathematics
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