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Solving Systems of Equations by Elimination

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Solving Systems of Equations by Elimination

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Questions and Answers

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?

$(m, n) = (4, 1)$ (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?

$(a, b) = (2, 0)$

$(a, b) = (1, 2)$

$(a, b) = (-1, 3)$

$(a, b) = (3, 1)$ (correct)

Which method is used to solve systems by finding the point of intersection on a graph?

Graphing method Signup and view all the answers

In which lesson is the method of solving systems by substituting one variable from one equation into the other equation taught?

Lesson 7.3 Signup and view all the answers

Which lesson covers the method of solving systems by adding or subtracting the equations to eliminate one variable?

Lesson 7.4 Signup and view all the answers

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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Description

This quiz involves solving systems of linear equations using the elimination method. The elimination method involves adding or subtracting the equations to eliminate one of the variables and solve for the remaining variable.