Question

solve pair of linear equation 1/2(x+2y)+5/3(3x-2y)=-3/2 5/4(x+2y)-3/5(3x-2y)=61/60 with full solution

Answer 1

1/2 (x+2y) + 5/3 (3x-2y) = -3/2 eq1

5/4 (x +2y) - 3/5 (3x -2y) = 61/60 eq2

Lets take eq1 and find LCM of 2 and 3 we get

3 (x+2y) + 10(3x - 2 y) = -3 ×6/2

3x + 6y + 30x -20y = -9

33x - 14y = -9 eq3

Now solve eq2

Take LCM of 4 and 5 we get

25 (x + 2y) -12 (3x - 2y) = 61 ×20/60

25x + 50y -36x +24y = 61/3

-11x + 74y = 61/3

-33x + 222y = 61 eq 4

Now solve eq3 and eq 4 we get

208y = 52

y = 52/208 = 1/4

Now put y in eq 4

-33x + 222×1/4 = 61

-33x = 61 - 111/2

-33x = (122 -111)/2

-33x = 11/2

x = - 11/66 = -1/6

Answer is x = -1/6 and y = 1/4


Thanks

Answer 2

Answer:

ANSWER x=1/2. y=5/4

Step-by-step explanation:

here is your answer