Question

for linear equations 3x -2y = 5 and 3y - 2x =3, the value of x + y is equal to a) 4 b) 6 c) 8 d) 9​

Answer 1

Answer:

8

Step-by-step explanation:

3x-2y= 5....i

3y-2x= 3... ii

let 3x= 5+ 2y

hence x= 5/3 +2/3y...iii

substitute in x in equation ii

3y- 2(5/3+2/3y)= 3

3y- 10/3-4/3y=3

3y-4/3y=3+10/3

5/3y= 19/3

y= 19/5

solving for x in equation iii

x=5/3+ 2/3(19/5)

x= 5/3+ 38/15

x=63/15

x=21/5

hence:

x+y= 21/5+19/5

⇒x+y= 40/5

⇒x+y= 8

Answer 2

Step-by-step explanation:

8

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