The solution of the given equation 7y + 4 = 3 - 2y is 29/2.
According to the given qestion.
We have a linear equation in one variable 7y + 4 = 3 - 2y.
So, the solution of the given linear equation in one variable 7y + 4 = 3 - 2y is given by
7y + 4 = 3 - 2y
⇒ 7y + 2y + 4 = 3 ( adding 2y both the sides)
⇒ 9y = 3 - 4
⇒ 9y = -1
⇒ y = -1/9
Now, we will check whether y = -1/9 is the solution of the given equation 7y + 4 = 3 - 2y or not.
Thereofore,
LHS
= 7(-1/9) + 4
= -7/9 + 4
= -7 + 36/9
= 29/9
Similarly
RHS
= 3 - 2(-1/9)
= 3 + 2/9
= (27 + 2)/9
= 29/2
Here, LHS = RHS
Hence, the solution of the given equation 7y + 4 = 3 - 2y is 29/2.
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