Chapter 4: Q . 4.26 (page 384)

For each system of linear equations decide whether it would be more convenient to solve it by substitution or elimination. Explain your answer.
$\{\begin{cases} 4 x - 5 y = - 32 \\ 3 x + 2 y = - 1 \end{cases}$
$\{\begin{cases} 6 x - 2 y = 12 \\ 3 x + 7 y = - 13 \end{cases}$

Short Answer

Expert verified

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

Step by step solution

Part (a) Step 1: Given information

Given the system of equations $\{\begin{cases} 4 x - 5 y = - 32 \\ 3 x + 2 y = - 1 \end{cases}$

Part (a) Step 2: Checking for the method

The equations are, $\{\begin{cases} 4 x - 5 y = - 32 \\ 3 x + 2 y = - 1 \end{cases}$

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 $\{\begin{cases} 6 x - 2 y = 12 \\ 3 x + 7 y = - 13 \end{cases}$

Part (b) Step 2: Checking the method

The equations are $6 x - 2 y = 12 3 x + 7 y = - 13$

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

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For each system of linear equations decide whether it would be more convenient to solve it by substitution or elimination. Explain your answer.
$\{\begin{cases} 4 x - 5 y = - 32 \\ 3 x + 2 y = - 1 \end{cases}$
$\{\begin{cases} 6 x - 2 y = 12 \\ 3 x + 7 y = - 13 \end{cases}$

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Checking for the method

Part (b) Step 1: Given information

Part (b) Step 2: Checking the method

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For each system of linear equations decide whether it would be more convenient to solve it by substitution or elimination. Explain your answer.4x-5y=-323x+2y=-16x-2y=123x+7y=-13

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Checking for the method

Part (b) Step 1: Given information

Part (b) Step 2: Checking the method

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Calculus

Theoretical and Mathematical Physics

Mechanics Maths

Applied Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

For each system of linear equations decide whether it would be more convenient to solve it by substitution or elimination. Explain your answer.
$\{\begin{cases} 4 x - 5 y = - 32 \\ 3 x + 2 y = - 1 \end{cases}$
$\{\begin{cases} 6 x - 2 y = 12 \\ 3 x + 7 y = - 13 \end{cases}$