MATH 1050 HOMEWORK SET #14, Sections 4.1 - 4.3 Concepts and definitions: I. System of linear equations in two variables: When two linear equations in two variables are considered simultaneously, they form a system of linear equations. Some examples of systems of linear equations in two variables are x y 8 x 3y 11 II. 0.25a 0.5b 10 7a 4b 25 y 8 2 4 x 3 y 11 Solution of a system of linear equations in two variables: A solution of a system of linear equations in two variables is an ordered pair that satisfies both equations of the system. Homework exercises: 1. Solve the system of equations by substitution or elimination: 2 x 5 y 8 6 x y 10 2. Solve the system of equations by substitution or elimination: 3 x 5 y 11 4 x 3 y 1 3. Solve the system of equations by any method: 3x y 4 6 x 2 y 4 4. Solve the system of equations by any method: x 3y 6 3 x 9 y 18 5. Solve the system of equations by graphing the two straight lines x 4 y 5 and 3 x 8 y 0 , and then find the point of intersection: x 4 y 5 3 x 8 y 0 6. Solve the system of equations by substitution or elimination: 5 3 4 x 2 y 11 1 x 3 y 1 16 4 7. Solve the system of equations by substitution or elimination: y 8 x 5 2 x 2 y 8 3 \f\f