Chapter 4: Q50. (page 166)

Solve each system of equations.
$\begin{array}{l} 2 a + b = 2 \\ 5 a = 15 \\ a + b + c = 鈭� 1 \end{array}$

Short Answer

Expert verified

The solution of the system of equations: $\begin{matrix} 2 a + b = 2 \\ 5 a = 15 \\ a + b + c = 鈭� 1 \end{matrix}$ is $(3, 鈭� 4, 0) .$

Step by step solution

- Solve for variables a

Let the equations be:

$2 a + b = 2$ 鈥� (i)

$5 a = 15$ 鈥� (ii)

$a + b + c = - 1$ 鈥� (iii)

Solve equation (ii) so as to obtain variable a.

$\begin{matrix} \frac{5 a}{5} = \frac{15}{5} \\ a = 3 \end{matrix}$

- Solve for variable b

Substitute 3 for a into equation (i) so as to obtain the value of b.

$\begin{matrix} 2 (3) + b = 2 \\ 6 + b 鈭� 6 = 2 鈭� 6 \\ b = 鈭� 4 \end{matrix}$

- Solve for variable c

Now substitute 3 for a and -4 for b into the equation (iii) so as to obtain variable c.

$\begin{matrix} (3) + (鈭� 4) + c = 鈭� 1 \\ 3 鈭� 4 + c = 鈭� 1 \\ 鈭� 1 + c + 1 = 鈭� 1 + 1 \\ c = 0 \end{matrix}$

Therefore, the solution is $(3, 鈭� 4, 0)$ .

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Solve each system of equations.
$\begin{array}{l} 2 a + b = 2 \\ 5 a = 15 \\ a + b + c = 鈭� 1 \end{array}$

Short Answer

Step by step solution

- Solve for variables a

- Solve for variable b

- Solve for variable c

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Calculus

Statistics

Discrete Mathematics

Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

91影视

Solve each system of equations.2a+b=25a=15a+b+c=鈭�1

Short Answer

Step by step solution

- Solve for variables a

- Solve for variable b

- Solve for variable c

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Calculus

Statistics

Discrete Mathematics

Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve each system of equations.
$\begin{array}{l} 2 a + b = 2 \\ 5 a = 15 \\ a + b + c = 鈭� 1 \end{array}$