Chapter 9: Q89. (page 535)

Use elimination to solve each system of equations.
$2 x + y = 5 3 x - 2 y = 4$

Short Answer

Expert verified

The solution of the given system of equations is $(2, 1)$ .

Step by step solution

Step 1. Multiply.

Multiply each side $2 x + y = 5$ by 2.

$2 (2 x + y) = 2 (5) 4 x + 2 y = 10$

Step 2. Add.

Add $4 x + 2 y = 10$ and $3 x - 2 y = 4$ . Simplify to obtain the value of x.

$(4 x + 2 y) + (3 x - 2 y) = 10 + 4 7 x = 14 \frac{7 x}{7} = \frac{14}{7} x = 2$

Step 3. Substitute.

Substitute 2 for x into $2 x + y = 5$ and simplify.

$2 (2) + y = 5 4 + y - 4 = 5 - 4 y = 1$

Therefore, the solution of the given system of equations is $(2, 1)$ .

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.

Use elimination to solve each system of equations.
$2 x + y = 5 3 x - 2 y = 4$

Short Answer

Step by step solution

Step 1. Multiply.

Step 2. Add.

Step 3. Substitute.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Pure Maths

Logic and Functions

Discrete Mathematics

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Use elimination to solve each system of equations.2x+y=53x−2y=4

Short Answer

Step by step solution

Step 1. Multiply.

Step 2. Add.

Step 3. Substitute.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Pure Maths

Logic and Functions

Discrete Mathematics

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Use elimination to solve each system of equations.
$2 x + y = 5 3 x - 2 y = 4$