Answer:
A. \(-1\)
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.
\(x+5y=-2...(1)\)
\(2x+y=5...(2)\)
We will substitution method to solve our given problem. From equation (1), we will get:
\(x=-2-5y\)
Upon substituting this value in equation (2), we will get:
\(2(-2-5y)+y=5\)
Now, let us solve for y.
\(2*-2-2*5y+y=5\)
\(-4-10y+y=5\)
\(-4-9y=5\)
\(-4+4-9y=5+4\)
\(-9y=9\)
\(\frac{-9y}{-9}=\frac{9}{-9}\)
\(y=-1\)
Therefore, the point of intersection of the lines has a y-coordinate of \(-1\) and option A is the correct choice.
