Question

24y/8+3/8=-5/2 plz solve the equation​

Answer 1

The value of $y$ is $(-\dfrac{23}{24})$.

Step-by-step explanation:

Now, $\dfrac{24y}{8}+\dfrac{3}{8}=-\dfrac{5}{2}$

• Hint. Since both the denominators in the left hand side are 8, in order to perform addition of fractions, we simply add the numerators and write 8 in the denominator.

$\Rightarrow \dfrac{24y+3}{8}=-\dfrac{5}{2}$

$\Rightarrow 24y+3=-8\times\dfrac{5}{2}$

• Hint. Simply transpose 8 to the right hand side.

$\Rightarrow 24y+3=-20$

$\Rightarrow 24y=-23$

• Hint. Simply transpose 3 to the right hand side.

$\Rightarrow y=-\dfrac{23}{24}$

The value of $y$ is $(-\dfrac{23}{24})$.

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Answer 2

Step-by-step explanation:

We have,

$\sf \dfrac{24y}{8}+\dfrac{3}{8}=-\dfrac{5}{2}$

$\sf \dfrac{24y+3}{8}=-\dfrac{5}{2}$

$\sf \dfrac{24y+3}{8}+\dfrac{5}{2}=0$

$\sf \dfrac{24y+3+20}{8}=0$

$\sf 24y+3+20=0$

$\sf 24y+23=0$

$\sf 24y=-23$

$\sf : \implies \underline{ \boxed{\sf \bf y = -\dfrac{23}{24}}}$