6y-3=3(y+1)+9 find y
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Step-by-step explanation:
5x−6y=2 ------- (1)
6x−5y=9 ------- (2)
From equation (1):
⇒6y=5x−2
⇒y=
6
5x−2
Substitute the value of y in equation (2) :
⇒6x−5y=9
⇒6x−5(
6
5x−2
)=9
⇒36x−25x+10=54
⇒11x=54−10
⇒x=
11
44
=4
Now, Substitute x=4 in equation (1)
⇒5x−6y=2
⇒5(4)−6y=2
⇒20−2=6y
⇒18=6y
⇒y=
6
18
=3
∴ the solution is x=4 and y=3
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