solve the following equations and check the result 2x-187+x3=2 please give the anwer
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Answered by
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Answer:
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Step-by-step explanation:
Given equation is 2x−(
3
1
)=(
5
1
)−x
To find out: The value of x
Transporting the constant term to RHS and the variable x to the LHS, we get:
2x+x=(
5
1
)+(
3
1
)
⇒3x=(
15
3+5
)
⇒3x=(
15
8
)
⇒x=(
45
8
)
∴ x=
45
8
is the solution of the given equation.
Let us now substitute the value of x in the equation to verify the solution.
(i) Substituting the value on LHS:
2×
45
8
−(
3
1
)
⇒
45
16
−
3
1
⇒
45
16−15
⇒
45
1
....(1)
(ii) Substituting the value on RHS:
5
1
−
45
8
⇒
45
9−8
⇒
45
1
....(2)
From (1) and (2), we get, LHS = RHS.
Hence, it is verified that the obtained solution is correct.
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