Chapter 3, Problem 8SGR

To determine

To fill: The blank in the statement “A(n) $\text{———————}$ is two or more equations with same variables.”

Answer to Problem 8SGR

The complete statement is “A system of equations is two or more equations with same variables.”

Explanation of Solution

Given information:

The statement “A(n) $\text{———————}$ is two or more equations with same variables.”

Consider the provided statement “A(n) $\text{———————}$ is two or more equations with same variables.”

When there are two or more equations with same variables, it is called system of equations.

For example: the provided equations form a system of equations because they have same variables.

  $\{\begin{array}{c}x+y+20z=12\\ 12x+12y+43z=24\\ x+3y+9z=36\end{array}$

Where, provided equations do not form a system of equations because they do not have same variables.

  $\{\begin{array}{c}x+y+20z=12\\ 12a+12b+43e=24\\ x+3y+9t=36\end{array}$

Thus, the complete statement is “A system of equations is two or more equations with same variables.”