
To write: When solving a system of linear equations by substitution, how to decide which
variable to solve for in step 1.

Answer to Problem 2E
The required answer is: the variable to be decided in an equation to solve for in step 1 is a
variable with constant of small value.
Explanation of Solution
At the time of solving a system of linear equations by using the method of substitution the first step is to solve one of the equations for one of the variables.
After selecting the equation to be solved, for example: x+3y=2
then we have to decide on which variable to be solved for in this step.
The equation x+3y=2 contains variable x that is alone (having coefficient of value +1). The characteristic of a variable in an equation with constant of small value will make it easier to be solved.
Hence, the variable x will be decided in this example to be solved for in step 1.
Chapter 5 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
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