Question

What is the value of y in the solution to the system of equations 1/3x+1/4y=1, 2x-3y=-30

Answer 1

x = -3 and y = 8

Explanation:

1/3 (-3) + 1/4 (8) = 1

-1+2=1

2(-3)-3(8)=-30

-6 - 28=-3

Answer 2

The value of y in the solution to the system of equations is:

`y=8`

Explanation:

We have the following system of equations

`(1)/(3)x+(1)/(4)y=1\\2x-3y=-30`

To solve the system multiply the first equation by -6 and add it to the second equation

`-6*(1)/(3)x-6*(1)/(4)y=-6`

`-2x-(3)/(2)y=-6`

+

`2x-3y=-30`

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`0 - 4.5y=-36`

`y=(-36)/(-4,5)`

`y=8`