Chapter 6: Q5. (page 393)

Use substitution to solve each system of equation.
$\begin{matrix} y = x + 8 \\ 2 x + y = - 10 \end{matrix}$

Short Answer

Expert verified

The solution of the given system of equations is $(- 6, 2)$ .

Step by step solution

Step 1. Write the given system of equations.

The given system of equations is:

$\begin{array}{l} y = x + 8 ... (1) \\ 2 x + y = - 10 ... (2) \end{array}$

Step 2. Solve the given system of equations.

Substitute the value of $y$ from the equation (1) in the equation (2).

$\begin{matrix} 2 x + y = - 10 \\ 2 x + x + 8 = - 10 \\ 3 x + 8 = - 10 \\ 3 x = - 10 - 8 \\ 3 x = - 18 \\ x = \frac{- 18}{3} \\ x = - 6 \end{matrix}$

The value of $x$ is $- 6$ .

Substitute $- 6$ for $x$ in the equation (1) to find the value of $y$ .

$\begin{matrix} y = x + 8 \\ = - 6 + 8 \\ = 2 \end{matrix}$

The value of $y$ is 2.

Therefore, the solution of the given system of equations is $(- 6, 2)$ .

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.

Use substitution to solve each system of equation.
$\begin{matrix} y = x + 8 \\ 2 x + y = - 10 \end{matrix}$

Short Answer

Step by step solution

Step 1. Write the given system of equations.

Step 2. Solve the given system of equations.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Decision Maths

Logic and Functions

Theoretical and Mathematical Physics

Mechanics Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Use substitution to solve each system of equation.y=x+82x+y=−10

Short Answer

Step by step solution

Step 1. Write the given system of equations.

Step 2. Solve the given system of equations.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Decision Maths

Logic and Functions

Theoretical and Mathematical Physics

Mechanics Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Use substitution to solve each system of equation.
$\begin{matrix} y = x + 8 \\ 2 x + y = - 10 \end{matrix}$