solve and find value of y 3x/2-5y/4=-2, x/2+y/2=13/6
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Answered by
1
Answer:
3x/2-5y/4=2/1
x/2+y/2=13/6
6x-5y/4=2/1
6x-5y=8 equation 1
x+y/2=13/6
6x+6y=26
3x+3y=13 equation 2
find value of x from equation 1
6x-5y=8
x=5y-8/6
put the value of x in equation 2
3(5y-8/6)+3y=13
15y +3y -24=13×6
18y-24=78
18y=78-24
18y=54
y=3
Answered by
1
Answer:
Step-by-step explanation:
`(3x)/2 - (5y)/3 = -2`
`x/y+y/2 = 13/6`
SOLUTION
`3/2x - 5/3y = -2
`x/3+y/2=13/6.
From equation (1), we obtain
9x - 10y = -12
`x = (-12+10y)/9 `
Substituting this value in equation (2), we obtain
`((-12+10y)/9)/3 + y/2 = 13/6`
`(-12+10y)/27+y/2 = 13/6`
`(-24+20y+27y)/54 = 13/6`
47y = 117 + 24
47y = 141
y = 3 (4)
Substituting this value in equation (3), we obtain
x = `(-12+10xx3)/9 = 18/9 = 2`
Hence, x = 2, y = 3
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