Purchase Solution

Equations of Lines and Solving Systems of Linear Equations ( Simultaneous Equations )

Not what you're looking for?

Ask Custom Question

1. Find the slope of the line that passes through the points (2, 3) and (5, 8).

2. Find the equation of the line that passes through the points (3, -2) and (4, -2).

3. Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x + 3y = 6 and passing through (-3, 5).

4. Solve the system of equations using the substitution method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is "no solution" or "infinitely many solutions."
-3x + y = 1
5x + 2y = -4

5. Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is "no solution" or "infinitely many solutions."
-7x + y = 8
2x - y = 2

6. Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is "no solution" or "infinitely many solutions."
3x - 2y = -7
-9x + 6y = 21

Purchase this Solution
Solution Summary

Equations of Lines and Solving Systems of Linear Equations are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

Purchase this Solution
Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

View More Free Quizzes
Related BrainMass Solutions

  • Methods of solving linear systems

    Both methods are good and each can be used effectively to solve simultaneous equations. Thank you for using Brainmass. This provides explanations of when methods of solving linear systems are appropriate. Step by step explanations are given.

  • Systems of equations can be solved by graphing or by using substitution or elimination

    186476 Comparing Methods of Solving Systems of Linear Equations Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? Which method do you like best? Why?

  • Algebraic Versus Graphical Solution of Linear Equations

    We discuss the merits of the algebraic and graphical methods for solving systems of simultaneous linear equations and illustrate with an example.

  • Simultaneous Linear Equations.

    28648 Solving Simultaneous Linear Equations 3.

  • Discussion questions on systems of linear equations

    What are the advantages and disadvantages of each? 3.Write 250-300 words comparing and contrasting all methods of solving systems of linear equations with two variables. Explain which method you prefer and why.

  • Solving a System of Linear Equations

    176339 Solving a System of Linear Equations Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? What circumstances would cause you to use a different method?

  • Methods of solving

    Comparing and contrasting all methods of solving systems of linear equations Write one or two paragraphs comparing and contrasting all methods of solving systems of linear equations with two variables. Explain which method you prefer and why.

  • solving system of linear equations

    This solution provides different methods of solving system of linear equations, such as graphing, determinant, and simultaneous equation method. The solution is detailed and well presented.

  • Systems of linear equations

    29252 Solving Systems of Linear Equations 1. Why do intersecting lines represent a unique solution? Give examples to support your answer. 2. What is the significance of the name 'linear equation' to its graphical representation? 3.

View More Related Solutions