Answer:
A. [tex]-1[/tex]
Step-by-step explanation:
We have been given a system of equations. We are asked to find y-coordinate of the point of intersection of the lines.
[tex]x+5y=-2...(1)[/tex]
[tex]2x+y=5...(2)[/tex]
We will substitution method to solve our given problem. From equation (1), we will get:
[tex]x=-2-5y[/tex]
Upon substituting this value in equation (2), we will get:
[tex]2(-2-5y)+y=5[/tex]
Now, let us solve for y.
[tex]2*-2-2*5y+y=5[/tex]
[tex]-4-10y+y=5[/tex]
[tex]-4-9y=5[/tex]
[tex]-4+4-9y=5+4[/tex]
[tex]-9y=9[/tex]
[tex]\frac{-9y}{-9}=\frac{9}{-9}[/tex]
[tex]y=-1[/tex]
Therefore, the point of intersection of the lines has a y-coordinate of [tex]-1[/tex] and option A is the correct choice.
