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Questions and Answers
What is the solution to the system $3x+2y=8$ and $2x-y=3$ by elimination method?
What is the solution to the system $3x+2y=8$ and $2x-y=3$ by elimination method?
- $(x, y) = (2, 1)$ (correct)
- $(x, y) = (4, 0)$
- $(x, y) = (3, 2)$
- $(x, y) = (1, 3)$
What is the solution to the system $5m+4n=17$ and $3m-2n=5$ by elimination method?
What is the solution to the system $5m+4n=17$ and $3m-2n=5$ by elimination method?
- $(m, n) = (4, 1)$ (correct)
- $(m, n) = (3, 2)$
- $(m, n) = (2, 3)$
- $(m, n) = (5, -1)$
What is the solution to the system $2a-3b=4$ and $4a+5b=14$ by elimination method?
What is the solution to the system $2a-3b=4$ and $4a+5b=14$ by elimination method?
- $(a, b) = (2, 0)$
- $(a, b) = (1, 2)$
- $(a, b) = (-1, 3)$
- $(a, b) = (3, 1)$ (correct)
Which method is used to solve systems by finding the point of intersection on a graph?
Which method is used to solve systems by finding the point of intersection on a graph?
In which lesson is the method of solving systems by substituting one variable from one equation into the other equation taught?
In which lesson is the method of solving systems by substituting one variable from one equation into the other equation taught?
Which lesson covers the method of solving systems by adding or subtracting the equations to eliminate one variable?
Which lesson covers the method of solving systems by adding or subtracting the equations to eliminate one variable?
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Study Notes
Systems of Linear Equations
- The system of equations $3x+2y=8$ and $2x-y=3$ can be solved using the elimination method.
- The system of equations $5m+4n=17$ and $3m-2n=5$ can also be solved using the elimination method.
- The system of equations $2a-3b=4$ and $4a+5b=14$ can be solved using the elimination method.
- The graphical method is used to solve systems by finding the point of intersection on a graph.
- The method of substitution, where one variable is substituted from one equation into the other equation, is taught in a specific lesson.
- The elimination method, where one variable is eliminated by adding or subtracting the equations, is covered in another lesson.
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