Question
Asked Dec 6, 2019
2 views
Use Cramer's Rule to solve the system.
{
9x
= -15
У
+ 3z =
7x
4
Зу + 9z %
45
help_outline

Image Transcriptionclose

Use Cramer's Rule to solve the system. { 9x = -15 У + 3z = 7x 4 Зу + 9z % 45

fullscreen
check_circle

Expert Answer

Step 1

According to Cramer’s rule, the solution to system of equation is given by,

help_outline

Image Transcriptionclose

y = <il

fullscreen
Step 2

Determine the determinant of the (3 X 3) matrix formed by the coefficients of the given 3 equations.

help_outline

Image Transcriptionclose

9 -1 0| A =7 3 3 =9[(0)(9)-(3)(3)]=(-1)[(7(9)-(M)(3)]+o[(7)(3)-(0)(0)] = 9(-9)+1(63)+0 =-18

fullscreen
Step 3

Determine the determinant by replacing the first colum...

help_outline

Image Transcriptionclose

|-15 -1 0 4 0 3 A, 3 45 =-1s[(0)(9)-(3)(3)]-(-1)[(4)(9)-(45)(3)]+ 0[(4)(3)-(45)(0)] =-15(-9)+1(-99)+0 = 36

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by student like you
Show more Q&A
add