Chapter 4: Q. 340 (page 479)

In the following exercises, solve the systems of equations by substitution.
$\{\begin{cases} y = - 5 x \\ 5 x + y = 6 \end{cases}$

Short Answer

Expert verified

The system of linear equations has no solutions.

Step by step solution

Step 1. Given information.

The system of linear equations,

$\{\begin{cases} y = - 5 x \\ 5 x + y = 6 \end{cases}$

Step 2. Substituting the value of y from one equation into another equation.

$y = - 5 x$

Now substituting this in another equation we get

$5 x - 5 x = 6 0 = 6$

Therefore the system of linear equations has no solutions.

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In the following exercises, solve the systems of equations by substitution.
$\{\begin{cases} y = - 5 x \\ 5 x + y = 6 \end{cases}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Substituting the value of y from one equation into another equation.

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In the following exercises, solve the systems of equations by substitution. y=-5x5x+y=6

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Substituting the value of y from one equation into another equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Probability and Statistics

Mechanics Maths

Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the systems of equations by substitution.
$\{\begin{cases} y = - 5 x \\ 5 x + y = 6 \end{cases}$