1/2(x+2y)+5/3(3x-2y)=-3/2 and 5/4(x+2y)-3/5(3x-2y)=61/60 pls solve without uv or ab
Answers
Answer:
x = - (1 / 6) and y = 1/4
Step-by-step explanation:
1/2 ( x + 2y ) + 5/3 ( 3x - 2y ) = -3/2
⇒ x/2 + y + 5x -10y/3 = - 3/2
⇒ x/2 + 5x + y - 10y/3 = - 3/2
⇒ ( x + 10x ) / 2 + ( 3y - 10y ) / 3 = - 3/2
⇒ 11x/2 - 7y/3 = - 3/2
⇒ 11x - 14y/3 = - 3 [ multiply 2 in both side ]
⇒ 33x - 14y = - 9 [ multiply 3 in both side ] ........ ( 1 )
5/4(x+2y)-3/5(3x-2y)=61/60
⇒ 5x/ 4 + 10y/4 - 9x/5 + 6y/5 = 61/60
⇒ 5x/4 - 9x/5 + 10y/4 + 6y/5 = 61/60
⇒ ( 25x - 36x ) / 20 + ( 50y + 24y ) / 20 = 61/60
⇒ - 11x/20 + 74y/20 = 61/60
⇒ - 11x + 74y = 61/ 3 [ multiply 20 in both side] ............( 2 )
⇒ - 33x + 222y = 61 [ multiply 3 in both side ] .............( 3 )
add equation 1 and equation 3
33x - 14y = - 9
- 33x + 222y = 61
222y - 14y = 61 - 9
⇒ 208y = 52
⇒ y = 52/208
⇒ y = 1/4
put the value of y in equation 1
x = - 1/6
Answer:
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