Q6. - Algebra 2

Question

Choose the letter of the term that best matches each phase.

6. A method of solving equations in which one variable is eliminated when the two equations are combined

Step-by-Step Solution

Answer

 A method of solving equations in which one variable is eliminated when the two equations are combined is (e) eliminated method.

Step-1 –Concept of elimination method

The elimination method is where you actually eliminated one of the variables by adding the two equations. In this way, we eliminate one variable so we can solve other variables.

Step-2 –Example of elimination method

Let the equations

$\begin{array}{c}x+y=7\dots \left(1\right)\\ x-y=8\dots \left(2\right)\end{array}$

Add $\left(1\right)$and$\left(2\right)$, we get

$\begin{array}{c}2x=15\\ x=\frac{15}{2}\end{array}$

Now, subtract $\left(1\right)$and$\left(2\right)$ we get,

$\begin{array}{c}2y=-1\\ y=-\frac{1}{2}\end{array}$

Step-3–Match the term with the phrase

Hence, by the above data we can say,” a method of solving equations in which one variable is eliminated when the two equations are combined is eliminated method.