Q4. - Algebra 2

Question

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

4. A method of solving equations in which one equation is solved for one variable in terms of the other variable.

Step-by-Step Solution

Answer

A method of solving equations in which one equation is solved for one variable in terms of the other variable are (i) substitution method.

Step-1 –Concept of substitution method

The substitution method is a way of solving a system of equation by comparing the equation in terms of only one variable.

Step-1 –Example of substitution method

Let two equations

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

Solving $\left(1\right)$for $y,$

$y=7-x.$

Substituting $y$in $\left(2\right)$

$\begin{array}{c}x-(7-x)=8\\ x+x-7=8\\ 2x=15\\ x=\frac{15}{2}\end{array}$

Now, substituting $x$in equation $\left(1\right)$

$\begin{array}{c}\frac{15}{2}+y=7\\ y=7-\frac{15}{2}\\ y=-\frac{1}{2}.\end{array}$

Step-3 – Match the letter of term with phrase

Hence, by the above data we can say, “a method of solving equations in which one equation is solved for one variable in terms of the other variable are substitution method.”