verify that (x×y) = x-1×y-1 when x=-2/3 and y =-3/5 Please solve this
Answers
LHS ≠ RHS
Explanation:
To verify, we need to solve both sides separately and see if there answer is same. So,
Left hand side = x * y
Given that
x = -2/3
y = -3/5
LHS = -2/3 * -3/5
LHS = 6/15 = 2/5
Now,
Right hand side = x-1 * y-1
RHS = -2/3 -1 * -3/5-1
RHS = -2-3/3 * -3-5/5
RHS = -5/3 *-8/5 = 40/15 = 8/3
Thus,
LHS ≠ RHS
Given : Verify that (x * y)⁻¹ = x⁻¹ * y ⁻¹ x=-2/3 and y =-3/5
To find : Verify LHS = RHS
Solution :
Correct Question Would be
Verify that (x * y)⁻¹ = x⁻¹ * y ⁻¹
x = -2/3
y = -3/5
LHS = (x * y)⁻¹
= ( (-2/3) * (-3/5) ) ⁻¹
= ( 2/5) ⁻¹
= 5/2
RHS = x⁻¹ * y ⁻¹
= ( -2/3)⁻¹ * (-3/5)⁻¹
= ( -3/2) * (-5/3)
= 5/2
LHS = RHS
Verified
(x * y)⁻¹ = x⁻¹ * y ⁻¹
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