Answer:
The value of y in the solution to the system of equations is:
[tex]y=8[/tex]
Step-by-step explanation:
We have the following system of equations
[tex]\frac{1}{3}x+\frac{1}{4}y=1\\2x-3y=-30[/tex]
To solve the system multiply the first equation by -6 and add it to the second equation
[tex]-6*\frac{1}{3}x-6*\frac{1}{4}y=-6[/tex]
[tex]-2x-\frac{3}{2}y=-6[/tex]
+
[tex]2x-3y=-30[/tex]
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[tex]0 - 4.5y=-36[/tex]
[tex]y=\frac{-36}{-4,5}[/tex]
[tex]y=8[/tex]
