ANSWER:
y = 3
STEP-BY-STEP EXPLANATION:
We have following system of equations
[tex]\begin{gathered} 2x\: -\: 5y\: =\: 1 \\ -3x\: +\: 2y\: =\: -18 \end{gathered}[/tex]We can solve the value of y by means of the elimination method, multiplying the first equation by 3 and the second equation by 2, like this:
[tex]\begin{gathered} 6x-15y=3 \\ -6x+4y=-36 \end{gathered}[/tex]We add both equations and solve for y:
[tex]\begin{gathered} 6x-15y-6x+4y=3-36 \\ -11y=-33 \\ y=\frac{-33}{-11} \\ y=3 \end{gathered}[/tex]The value of y is equal to 3
