Question

Find the value of x+y if 3x-2y=5 and 3y-2x=3

Answer 1

AnSwEr

${\tt{\red{\underline{\large{Given}}}}}$

• An. equation
• 3x-2y=5 and 3y-2x=3

${\sf{\green{\underline{\large{To\:find}}}}}$

• Value of x + y

${\sf{\pink{\underline{\Large{Explanation}}}}}$

3x-2y=5____(1)

3y-2x=3_____(2)

Multiplying by 2 in Equation (1) and 3 in (2)

2(3x-2y)=5×2____(3)

3(3y-2x)=3×3_____(4)

Solving equations (3) and (4) by Elimination method

6x - 4y = 10

9y - 6x = 9

__________

5y = 19

=>y = 19/5

Putting value of y in 1

3x-2y=5

=>3x-2× 19/5 =5

=>3X =5 -38/5

=>X = -13/15

Answer 2

Step-by-step explanation:

3x-2y=5____(1)

3y-2x=3_____(2)

Multiplying by 2 in Equation (1) and 3 in (2)

2(3x-2y)=5×2____(3)

3(3y-2x)=3×3_____(4)

Solving equations (3) and (4) by Elimination method

6x - 4y = 10

9y - 6x = 9

__________

5y = 19

=>y = 19/5

Putting value of y in 1

3x-2y=5

=>3x-2× 19/5 =5

=>3X =5 -38/5

=>X = -13/15

$\huge \red{thanks}$