Question

PLEASE HELP ASAP

Find the value of each variable.

Answer 1

`a=4\\\\b=(7)/(27)\\\\c=11\\\\d=(1)/(3)`

Step-by-step explanation:

Since we have given that

it is the case of equal matrix where corresponding elements must be equal,

i.e

`a_(11)=b_(11),a_(12)=b_(12),a_(21)=b_(21),a_(22)=b_(22)`

So,

`a_(11)=b_(11)`

`(5a)/(3)=(7a)/(6)+2\\\\(5a)/(3)-(7a)/(6)=2\\\\(10a-7a)/(6)=2\\\\(3a)/(6)=2\\\\(a)/(2)=2\\\\a=4`

Similarly,

`a_(12)=b_(12)`

`(7)/(3b)=9\\\\7=9* 3b\\\\7=27b\\\\(7)/(27)=b`

Similarly,

`a_(21)=b_(21)`

`(2c-15)/(35c)=(1)/(5c)\\\\2c-15=7\\\\2c=7+15=22\\\\c=(22)/(2)=11`

Similarly,

`a_(22)=b_(22)`

`(5)/(2d)+(3)/(4)=(9)/(4d)\\\\(5)/(2d)-(9)/(4d)=(3)/(4)\\\\(10-9)/(4d)=(3)/(4)\\\\(1)/(4d)=(3)/(4)\\\\d=(1)/(3)`

Hence we get the all the values :

`a=4,b=(7)/(27),c=11,d=(1)/(3)`