Purchase Solution

system of linear equations and inequalities

Not what you're looking for?

Ask Custom Question

Solve each system by the substitution method.
Section 7.1
#54
X + 3y = 2
-x + y = 1

Section 7.2
#64 Book and magazines. At Gwen's garage sale, all books were one price, and all magazines another price. Harriet bought 4 books and three magazines for $1.45 and June bought two books and five magazines for $1.25. What was the price of a book and what was the price of a magazine?

Section 8.2
Write each union or intersection of intervals as a single interval if possible
#62

Section 8.3
#68: Allocating resources. A furniture maker has a shop that can only employ 12 workers for 40 hours per week at its maximum capacity. The shop makes tables and chairs. It takes 16 hours of labor to make a table and 8 hours to make a chair. Graph the region that shows the possibilities for the number of tables and chairs that could be made in one week.

Purchase this Solution
Solution Summary

The solution elaborates how to solve the system of linear equations using substitution method. It also demonstrates how to graph the inequalities with two variables step by step.

Solution Preview

Please see the attached file for detailed solutions and graphs.

54. X + 3y = ...

Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers

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

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

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.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

View More Free Quizzes
Related BrainMass Solutions

  • methods of solving system of linear equation and inequality

    The solution elaborates the methods of solving system of linear equations and inequalities, such as addition, subtraction, substitution, and graphing.

  • Algebra - Linear Inequalities

    197862 Algebra - Linear Inequalities 1. How do solving linear inequalities differ from solving linear equations? 2. What is the difference between identity, conditional, and inconsistent equations?

  • Linear Equations and Linear Inequalities

    176764 Linear Equations and Linear Inequalities In what fundamental way does the solution set of a system of linear equations differ from the solution set of a system of linear inequalities? Give examples.

  • system of inequalities

    313872 Systems of Linear Equations & Inequalities 1) For the equations, you are learning several methods of finding the solution to a system.

  • Question about Inequalities and Equations

    466783 Question about Inequalities and Equations 1.) How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not?

  • Using Overlap on a Graph to Determine a Linear Inequality

    31125 Using Overlap on a Graph to Determine a Linear Inequality How does the region of overlap on a graph determine the solution of a system of linear inequalities? The region of overlap is where all the equations in a system of equations are true.

  • Proof in Linear programming course

    Solution: Consider the system of m+1 inequalities: a_i x >= b_i, i = 1 ... m a_0 x <= b_0 Given the definitions of a_0 and b_0 this system has only the same solutions as the system of equations a_i x = b_i, which is equivalent to Ax = b.

  • Equations and graphing

    Write the equation of the line with x-intercept (12, 0) and y-intercept (0, 4). Please see the attached file. This provides several examples of working with graphing inequalities and equations and solving systems of linear equations.

  • solving system of linear equations and linear inequalities

    So (a) and (d) are parallel since both their slopes are -6. The solution is comprised of detailed explanations using graphing as a tool to solve the system of linear equations and linear inequalities.

  • Systems of Linear Equations and Inequalities

    Systems of Linear Equations and Inequalities are investigated.

View More Related Solutions