Question

Please show work if possible, it would be greatly appreciated. Thank you SOOOOO much!!!

Answer 1

When you solve this equation, you can plug in 2x + 10 for y, so you would have 2x + 10 = 2x +4. When you solve for x, you notice that you end up getting 10 = 4, which is impossible!

There are NO solutions for this, because 10 will never equal 4.

The slope of the first line is 2.

The slop of the second line is also 2.

The lines ARE parallel- they have the same slope!

They do not have the same y-intercept, one of them crosses at y=4, and the other crosses at y=10.

Since the lines are parallel, they will never cross, which is why there are no solutions for this equation.

Hope this helps! :)