Question #176972

use Cramer's rule to find the solution of the systems of linear equation in terms of the parameter K.


5x - Ky = 6

-2x + 2Ky = -3


1
Expert's answer
2021-04-14T14:02:52-0400

Given,

5x - Ky = 6

-2x + 2Ky = -3

Now comparing the above equation with the general equation,

ax+by=cax+by=c

a1=5,b1=k,c1=6a_1=5, b_1=-k, c_1=6

a2=2,b2=2k,c=3a_2=-2, b_2=2k, c=-3

Now, substituting the values,

x=b2c1b1c2b2a1b1a2x=\frac{b_2c_1-b_1c_2}{b_2a_1-b_1a_2}


=12k3k10k2k=\frac{12k-3k}{10k-2k}


=9k8k=\frac{9k}{8k}


=98=\frac{9}{8}

y=a2c1a1c2a2b1a1b2y=\frac{a_2c_1-a_1c_2}{a_2b_1-a_1b_2}

Now, again substituting the values,

y=12+152k10ky=\frac{-12+15}{2k-10k}

=38k=\frac{3}{-8k}


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS