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3y +2 (y-2)=(3y )/(2) + 1 What value o...

`3y +2 (y-2)=(3y )/(2) + 1`
What value of y satisfies the equation above ?

A

`-10/7`

B

`-6/13`

C

`7/9`

D

`10/7`

Text Solution

Verified by Experts

The correct Answer is:
D
Distribute the factor of 2, combine like terms, multiply both sides of the equation by 2 to clear the function, and then solve for y:
`3t + 2y-4=(3y)/(2)+1`
`5y-4 =(3y)/(2)+1`
`10y-8=3y+2`
`7y=10`
`y = (10)/(7)`
Choice D is correct.
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Knowledge Check

  • (5)/(8)x+(7)/(2)y=(3)/(2) (1)/(6)x-(2)/(3)y=1 If the ordered pair (x, y) satisfies the system of equations above, what is the sum of the values of x and y?

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    D
    `3/2`

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