find x and y by substituting method (class10) 2x-7y=10 ,3x+2y=10
Answers
Answered by
6
2x - 7y = 10
2x = 10 + 7y
x = (10 + 7y)/2
Substituting this value of x in the equation of 3x + 2y = 10
3[{10 + 7y)/2] + 2y = 10
(30 + 21y)/2 + 2y = 10
(30 + 21y + 4y)/2 = 10
30 + 25y = 20
25y = - 10
y = - 10/25 = - 2/5
3x + 2(-2/5) = 10
3x - 4/5 = 10
(15x - 4)/5 = 10
15x - 4 = 50
15x = 54
x = 54/15
x = 18/5
x = 18/5 and y = -2/5
2x = 10 + 7y
x = (10 + 7y)/2
Substituting this value of x in the equation of 3x + 2y = 10
3[{10 + 7y)/2] + 2y = 10
(30 + 21y)/2 + 2y = 10
(30 + 21y + 4y)/2 = 10
30 + 25y = 20
25y = - 10
y = - 10/25 = - 2/5
3x + 2(-2/5) = 10
3x - 4/5 = 10
(15x - 4)/5 = 10
15x - 4 = 50
15x = 54
x = 54/15
x = 18/5
x = 18/5 and y = -2/5
Answered by
1
hi buddy
well iam not 10th
iam 7th
but here your answer goes like this
let
2x-7y=10 ---------->1
3x+2y=10 ----------->2
frm equation 1
make x as subject
=> 2x-7y=10
= 2x=10+7y
= x = (10+7y) /2
now substitute x in equation 2
=> 3 × (10 + 7y)/2 + 2y = 10
=> ( 30 + 21y) / 2 + 2y = 10
=>( 30 + 21y + 4y ) / 2 = 10
=> 30 + 25y = 20
=> 25y = (-10)
=> y = (-10)/25
=> y = (-0.4)
now substitute y in eq 2
you will get
3x + 2×(-0.4) = 10
3x + (-0.8) = 10
3x = 10+0.8
3x = 10.8
x = (10.8) /3
x = 3.6
there fore,
x=3.6
y = (-0.4)
i hope it helped you
thanks !!!!
well iam not 10th
iam 7th
but here your answer goes like this
let
2x-7y=10 ---------->1
3x+2y=10 ----------->2
frm equation 1
make x as subject
=> 2x-7y=10
= 2x=10+7y
= x = (10+7y) /2
now substitute x in equation 2
=> 3 × (10 + 7y)/2 + 2y = 10
=> ( 30 + 21y) / 2 + 2y = 10
=>( 30 + 21y + 4y ) / 2 = 10
=> 30 + 25y = 20
=> 25y = (-10)
=> y = (-10)/25
=> y = (-0.4)
now substitute y in eq 2
you will get
3x + 2×(-0.4) = 10
3x + (-0.8) = 10
3x = 10+0.8
3x = 10.8
x = (10.8) /3
x = 3.6
there fore,
x=3.6
y = (-0.4)
i hope it helped you
thanks !!!!
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