Chapter 3: Q12. (page 142)

Solve system of equations.
12.
$\begin{array}{l} 2 x - y = 2 \\ 3 z = 21 \\ 4 x + z = 19 \end{array}$

Short Answer

Expert verified

The solution is $x = 3, y = 4, z = 7 .$

Step by step solution

Step-1 –Evaluating the value of z from the second equation

Given system of equations are

$\begin{array}{l} 2 x - y + z = 2 \\ 3 z = 21 \\ 4 x + z = 19 \end{array}$

From second equation we get

$\begin{array}{l} 3 z = 21 \\ z = \frac{21}{3} \\ z = 7 \end{array}$

Step-2 –Evaluating the value of x from the third equation

$\begin{array}{l} 4 x + z = 19 \\ 4 x + 7 = 19 \\ 4 x = 19 - 7 \\ 4 x = 12 \\ x = 3 \end{array}$

Step-3–Evaluating the value of y from the first equation

$\begin{array}{l} 2 x - y = 2 \\ 2 (3) - y = 2 \\ 6 - y = 2 \\ - y = 2 - 6 \\ - y = - 4 \\ y = 4 \end{array}$

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Solve system of equations.
12.
$\begin{array}{l} 2 x - y = 2 \\ 3 z = 21 \\ 4 x + z = 19 \end{array}$

Short Answer

Step by step solution

Step-1 –Evaluating the value of z from the second equation

Step-2 –Evaluating the value of x from the third equation

Step-3–Evaluating the value of y from the first equation

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Solve system of equations.12.2x−y=23z=214x+z=19

Short Answer

Step by step solution

Step-1 –Evaluating the value of z from the second equation

Step-2 –Evaluating the value of x from the third equation

Step-3–Evaluating the value of y from the first equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Calculus

Statistics

Theoretical and Mathematical Physics

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve system of equations.
12.
$\begin{array}{l} 2 x - y = 2 \\ 3 z = 21 \\ 4 x + z = 19 \end{array}$