If (a+2b 2a-b) (4 -2) (2c+d c-2d)=(4 -3) Find a, b, c, and d?

Question

If
#(a+2b,2a-b)=(4,-2), (2c+d,c-2d)=(4,-3)# Find a, b, c, and d?

4542 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-17T14:48:07

# a=0, b=2, c=1, and, d=2#.

I hope, the Problem is to find #a,b,c,d, if, #

#(a+2b,2a-b)=(4,-2), and, (2c+d,c-2d)=(4,-3)#.

#(a+2b,2a-b)=(4,-2)#

#rArr a+2b=4...(1), and, 2a-b=-2...(2)#.

Subst.ing the value of #a# from #(1)" into "(2)#,

#2(4-2b)-b=-2 :. -5b=-10 :. b=2#.

#:. a=4-2b=4-2(2)=0#.

Thus, #a=0, b=2#.

Similarly, #c=1, d=2#.