Question

What do the following two equations represent? 5x +y = 3 . 10x + 2y = -6

Answer 1

Answer:

Choose distinct parallel lines.

Explanation:

They represent two parallel lines. The slopes are going to be the same in each line . Put the x value on the opposite side of the equal sign.

y = - 5x + 3           The slope is - 5

10x + 2y = - 6        Subtract 10x from both sides

2y = - 10x - 6         Divide by 2

y = -10x/2 - 6/2

y =-5x - 3

That minus three is the problem. You have 2 different y intercepts. That means that you have 2 parallel lines.