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# Solving Linear Systems of Equations in Dependence and Matrices

1. INDEPENDENT LINEAR SYSTEM

a. a system with exactly one solution
b. an equation that is satisfied by every real number
c. equations that are identical
d. a system of lines

2. DEPENDENT SYSTEM

a. a system that is independent
b. a system that depends on a variable
c. a system that has no solution
d. a system for which the graphs coincide

a. adding the same number to each side of an equation
c. eliminating a variable by adding two equations.
d. the sum of a number and its additive inverse is zero.

4. MATRIX

a. a movie
b. a maze
c. a rectangular array of numbers
d. coordinates in four dimentions.

5. SIZE OF A MATRIX

a. the length of a matrix
b. the number of rows and columns in a matrix
c. the highest power of a matrix.
d. the lowest power of a matrix.

Can you show me how to solve the following problems by the substitution method. Can you indicate whether each system is INDEPENDENT, INCONSISTENT, or DEPENDENT.

1. x=1/8 y - 1

y=1/4x+ 39

2. -3x+ y=3
2x-3y=5

Thank you for your much needed HELP !!!

#### Solution Summary

Solving Linear Systems of Equations is 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.

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