Chapter 4: Q 33 (page 386)

Solve the systems of equations by substitution.
$\{\begin{cases} x - 3 y = - 9 \\ 2 x + 5 y = 4 \end{cases}$

Short Answer

Expert verified

The solution of system of linear equation is $(- 3, 2)$

Step by step solution

Step 1. Given information

The system of equations is $\{\begin{cases} x - 3 y = - 9 \\ 2 x + 5 y = 4 \end{cases}$

Step 2. Substitute the value of x from one equation into other equation

$x - 3 y = - 9 x = 3 y - 9$

Now,

$2 x + 5 y = 4 2 (3 y - 9) + 5 y = 4 6 y - 18 + 5 y = 4 11 y = 22 y = 2$

Step 3. Substitute the value of y in any equation

$x - 3 y = - 9 x - 3 (2) = - 9 x - 6 = - 9 x = - 3$

Step 4. Required answer

The solution of system of linear equation is $(- 3, 2)$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Solve the systems of equations by substitution.
$\{\begin{cases} x - 3 y = - 9 \\ 2 x + 5 y = 4 \end{cases}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Substitute the value of x from one equation into other equation

Step 3. Substitute the value of y in any equation

Step 4. Required answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Probability and Statistics

Theoretical and Mathematical Physics

Logic and Functions

Statistics

Study anywhere. Anytime. Across all devices.

Solve the systems of equations by substitution.x-3y=-92x+5y=4

Short Answer

Step by step solution

Step 1. Given information

Step 2. Substitute the value of x from one equation into other equation

Step 3. Substitute the value of y in any equation

Step 4. Required answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Probability and Statistics

Theoretical and Mathematical Physics

Logic and Functions

Statistics

Study anywhere. Anytime. Across all devices.

Solve the systems of equations by substitution.
$\{\begin{cases} x - 3 y = - 9 \\ 2 x + 5 y = 4 \end{cases}$