Question

If 2x+3y=19 and 3x+2y=16 then. find value of y​

Answer 1

Step-by-step explanation:

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Answer 2

The value of y = 5

Given :

2x + 3y = 19 and 3x + 2y = 16

To find :

The value of y

Solution :

Step 1 of 2 :

Write down the given system of equations

Here the given system of equations are

2x + 3y = 19 - - - - - (1)

3x + 2y = 16 - - - - - (2)

Step 2 of 2 :

Find the value of y

2x + 3y = 19 - - - - - (1)

3x + 2y = 16 - - - - - (2)

Multiplying both sides of Equation 1 by 3 we get

6x + 9y = 57 - - - - (3)

Multiplying both sides of Equation 2 by 2 we get

6x + 4y = 32 - - - - - (4)

Equation 3 - Equation 4 we get

5y = 25

$\displaystyle \sf{ \implies }y = \frac{25}{5}$

$\displaystyle \sf{ \implies }y = 5$

Putting y = 5 in Equation 1 we get

$\displaystyle \sf 2x + (3 \times 5) = 19$

$\displaystyle \sf{ \implies }2x + 15 = 19$

$\displaystyle \sf{ \implies }2x = 19 - 15$

$\displaystyle \sf{ \implies }2x = 4$

$\displaystyle \sf{ \implies }x = \frac{4}{2}$

$\displaystyle \sf{ \implies }x = 2$

The solution of system of equations are x = 2 , y = 5

Hence the required value of y = 5

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