Questions:
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
3. ADDITION METHOD
a. adding the same number to each side of an equation
b. adding fractions
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