Algebra Assignment | Answers

Running head: ALGEBRA 1
Algebra
Name of Student
Institution
Date

ALGEBRA 2
Question 1.
 I prefer solving the linear system of equations using the method of substitution. This
method entails plugging one value of an isolated variable to the other equation. The new
equation carrying only one variable is then solved. This method is simple and quick to
use.
 Substitution method is better than the other two because it is a fast way of solving the
equations and does not involve complex calculations. Compared to the elimination
method, the latter is also simple but sometimes the method involves extra calculations to
find factors that when multiplied with the two equations the coefficients of one variable
becomes isolated. The graphing method, on the other hand, is useful only when the
solutions are whole numbers (Bapat, 2010). It becomes difficult to read answers from the
graphs whenever the solutions are fractions or decimals.
 Substitution method is the easiest to understand. Given a system of linear equations, all
that is required is to make one of the variables isolated then substitute its solution to the
other equation. From there you can simply find the solutions.
Question 2.
A matrix is composed of rows and columns. Multiplication of two matrices requires that
the number of columns of the first matrix is equivalent to the number of rows of the
second matrix. For example, a 3 by 2 matrix can be multiplied by a 2 by 4 matrix. The
resulting matrix will be an n by m matrix. The number of rows of the first matrix gives n
while m is the number of columns of the second matrix. In our example above the
resulting matrix will be three rows by four columns.