Question

Q. 5. Use Cramer's rule and prove that following
system of equations are inconsistent :
2x - y =5
4x – 2y = 7 help me friends​

Answer 1

Answer:

$2x - y = 5 \: \: \: \: \: ...(1) \\ 4x - 2y = 7 \: \: ...(2) \\ \\ d = | \frac{2}{4} \: \: \frac{ - 1}{ - 2} | \\ \: \: \: \: \: = 2 \times (- 2 )- ( - 1) \times 4 \\ \: \: \: \: \: = - 4+ 4 \\ \: \: \: \: = 0\\ \: \: d =0$

$now \: dx = | \frac{5}{7} \: \frac{ - 1}{ - 2} | \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = ( - 2)\times 5 - ( - 1) \times 7 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = ( - 10) + 7 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: dx= = - 3$

$dy = | \frac{2}{4} \: \frac{5}{7} | \\ \: \: \: \: \: \:= 7 \times 2 - 5 \times 4 \\ \: \: \: \: \: = 14 - 20 \\ \: \: \: \: \: = - 6 \\ \: \: dy = - 6$

$by \: cramers \: rule \: \\ \:x = \frac{dx}{d} \: \: \: \: and \: \: \: \: y = \frac{dy}{d} \\ x = \frac{ - 3}{0} \: \: \: \: and \: \: \: \: y = \frac{ - 6}{0} \\ x = 0 \: \: \: \: \: and \: \: \: \: \: y = 0$therefore following systeme of equation are inconsistent.

Answer 2

Answer:

I have solved

I hope it will be helpful