Question

X + 5y = -2 2x + y = 5

The point of intersection of the lines has a y-coordinate of _____.
-1
1
or
3?

Answer 1

Y=1 , X=-1 I am very very positive about this answer.

Answer 2

A.
`-1`

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`

`(-9y)/(-9)=(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.