X + 2 Y equal to 3 equal to 4 x minus y find the value of x and y
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Answer:
[4x35]=[y1z5]
As the given matrices are equal, their corresponding elements are also equal.
Comparing the corresponding elements, we get: x=1,y=4, and z=3
(ii) [x+y5+z2xy]=[6528]
As the given matrices are equal, their corresponding elements are also equal. Comparing the corresponding elements, we get:
x+y=6,xy=8,5+z=5
Now, 5+z=5⇒z=0
We know that:
(x−y)2=(x+y)2−4xy
⇒(x−y)2=36−32=4
⇒x−y=±2
Now, when x−y=2 and x+y=6, we get x=4 and y=2
When x−y=−2 and x+y=6, we get x=2 and y=4
∴x=4,y=2 and z=0orx=2,y=4 and
Step-by-step explanation:
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