Q . 4.26 - Intermediate Algebra

Question

For each system of linear equations decide whether it would be more convenient to solve it by substitution or elimination. Explain your answer.

$\left\{\begin{array}{l}4x-5y=-32\\ 3x+2y=-1\end{array}\right.$

$\left\{\begin{array}{l}6x-2y=12\\ 3x+7y=-13\end{array}\right.$

Step-by-Step Solution

Answer

For part (a),(b) The elimination method is more preferred

Part (a) Step 1: Given information

Given the system of equations $\left\{\begin{array}{l}4x-5y=-32\\ 3x+2y=-1\end{array}\right.$

Part (a) Step 2: Checking for the method

The equations are, $\left\{\begin{array}{l}4x-5y=-32\\ 3x+2y=-1\end{array}\right.$

Here there are two variables to be found and two equations are given in standard form so the elimination method is more preferred.

Part (b) Step 1: Given information

Given the system of equation $\left\{\begin{array}{l}6x-2y=12\\ 3x+7y=-13\end{array}\right.$

Part (b) Step 2: Checking the method

The equations are $$\begin{gathered} 6x-2y=12 \\ 3x+7y=-13 \end{gathered}$$

Here there are two variables to be found and two equations are given in standard form so the elimination method is more preferred.