Chapter 4: Q 347 (page 479)

In the following exercises, decide whether it would be more convenient to solve the system of equations by substitution or elimination.
$\{\begin{cases} 6 x - 5 y = 27 \\ 3 x + 10 y = - 24 \end{cases}$

Short Answer

Expert verified

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

Step by step solution

Step 1. Given Information

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

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 $\{\begin{cases} 6 x - 5 y = 27 \\ 3 x + 10 y = - 24 \end{cases}$ 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.

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In the following exercises, decide whether it would be more convenient to solve the system of equations by substitution or elimination.
$\{\begin{cases} 6 x - 5 y = 27 \\ 3 x + 10 y = - 24 \end{cases}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Choosing the most convenient method

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In the following exercises, decide whether it would be more convenient to solve the system of equations by substitution or elimination.6x-5y=273x+10y=-24

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Choosing the most convenient method

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Probability and Statistics

Calculus

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, decide whether it would be more convenient to solve the system of equations by substitution or elimination.
$\{\begin{cases} 6 x - 5 y = 27 \\ 3 x + 10 y = - 24 \end{cases}$