Q 347 - Intermediate Algebra

Question

In the following exercises, decide whether it would be more convenient to solve the system of equations by substitution or elimination. 

$\left\{\begin{array}{l}6x-5y=27\\ 3x+10y=-24\end{array}\right.$

Step-by-Step Solution

Answer

It would be more convenient to solve the system of equations $\left\{\begin{array}{l}6x-5y=27\\ 3x+10y=-24\end{array}\right.$ by the elimination method.

Step 1. Given Information

We are given a system of equations $\left\{\begin{array}{l}6x-5y=27\\ 3x+10y=-24\end{array}\right.$

We need to know which method will be more convenient to solve the system of equations.

Step 2. Choosing the most convenient method

In the given system of equations $\left\{\begin{array}{l}6x-5y=27\\ 3x+10y=-24\end{array}\right.$ both equations are written in standard form.

So using elimination will be most convenient.

Either eliminating $x$ or $y$ to solve for other variable and then substituting the value in either of the equation to get the remaining variable.