Q7. Use Cramer鈥檚 Rule to solve eac... [FREE SOLUTION]

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Chapter 4: Q7. (page 192)

Use Cramer鈥檚 Rule to solve each system of equations.
$2 x - y + 3 z = 5$
$3 x + 2 y - 5 z = 4$
$x - 4 y + 11 z = 3$

Short Answer

Expert verified

The system of equation has no solutions.

Step by step solution

Step 1- Determine the value of x

Apply the Cramer鈥檚 rule for the value of x.

$x = \frac{|\begin{matrix} j & b & c \\ k & e & f \\ l & h & i \end{matrix}|}{|\begin{matrix} a & b & c \\ d & e & f \\ g & h & i \end{matrix}|}$

Use the provided equations and substitute the value of a, b, c, d, e, f, g, h, i, j, k and l into role="math" localid="1647355463064" $x = \frac{|\begin{matrix} j & b & c \\ k & e & f \\ l & h & i \end{matrix}|}{|\begin{matrix} a & b & c \\ d & e & f \\ g & h & i \end{matrix}|}$ after it perform simplification of determinants to write the value of x.

$\begin{matrix} x = \frac{|\begin{matrix} 5 & 鈭� 1 & 3 \\ 4 & 2 & 鈭� 5 \\ 3 & 鈭� 4 & 11 \end{matrix}|}{|\begin{matrix} 2 & 鈭� 1 & 3 \\ 3 & 2 & 鈭� 5 \\ 1 & 鈭� 4 & 11 \end{matrix}|} \\ = \frac{3}{0} \end{matrix}$

– Analyze the obtained value of x

The denominator of the value of x is 0 which means that the main determinant is 0 so each value will become undefined.

Step 3- Make the conclusion

The obtained value of each value is undefined which means that there is no solution of the given system of equations.

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91影视

Use Cramer鈥檚 Rule to solve each system of equations.
$2 x - y + 3 z = 5$
$3 x + 2 y - 5 z = 4$
$x - 4 y + 11 z = 3$

Short Answer

Step by step solution

Step 1- Determine the value of x

– Analyze the obtained value of x

Step 3- Make the conclusion

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91影视

Use Cramer鈥檚 Rule to solve each system of equations.2x-y+3z=53x+2y-5z=4x-4y+11z=3

Short Answer

Step by step solution

Step 1- Determine the value of x

– Analyze the obtained value of x

Step 3- Make the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Pure Maths

Probability and Statistics

Applied Mathematics

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Use Cramer鈥檚 Rule to solve each system of equations.
$2 x - y + 3 z = 5$
$3 x + 2 y - 5 z = 4$
$x - 4 y + 11 z = 3$