Question

yupon2+5upon2=-3upon2​

Answer 1

Answer:

-2 answer

Step-by-step explanation:

y/2+5/2 =3/2

y/2 = 3/2-5/2

y/2 = 3-5/2

y/2 = -2/2

y/2 = -1

y = -1×2 = -2 answer

Answer 2

Appropriate Question:

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

Here, we have to find the value of the variable (y).

Required Answer:

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

• Taken the L.C.M of 2. (Solving L.H.S) ↑

→ $\sf { 2(y+5) = 2(-3) }$

• By cross multiplication.↑

→ $\sf { 2y + 10 = -6}$

• Performed multiplication ↑.

→ $\sf { 2y = -6 - 10}$

• Transposing 10 from L.H.S to R.H.S.↑

→ $\sf { 2y = -16}$

• Performed substraction.↑

→ $\sf { y = \dfrac{-16}{2}}$

• Transposing 2 from L.H.S to R.H.S.

→ $\sf \red { y = -8}$

Hence, the value of y is -8.

Verification:

Let us substitute the value of y in L.H.S to justify our answer.

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

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

→ $\sf { \dfrac{-3}{2}= \dfrac{-3}{2}}$

Hence, verified!

Remember !

When we apply transposition method, signs are changed.

• If (+x) is transposed from L.H.S to R.H.S or vice versa, then its sign becomes (-x)

• If (-x) is transposed from L.H.S to R.H.S or vice versa, then its sign becomes (+x)

• If any number (x) is in multiplication form in L.H.S or R.H.S, its sign changed to division when it is transposed from L.H.S to R.H.S.

Let us understand with example :

• x + 2 = 4

→ x = 4 - 2

→ x = 2

Here, we transposed "+2" from L.H.S to R.H.S and hence its sign changed to "-2".

• y - 4 = 3

→ y = 3 + 4

→ y = 7

Here, we transposed "-4" from L.H.S to R.H.S and hence its sign changed to "+4".

• $\sf { \dfrac{a}{2}= 2}$

→ $\sf { a = 2 \times 2}$

→ $\sf {a = 4}$

Here, 2 is in division form in L.H.S. So, when we transposed it from L.H.S to R.H.S , its sign changed from division to multiplication.