Question

5. y = 2x + 6
2x - y=2

Answer 1

Step-by-step explanation:

$y = 2x + 6$

$2x - y = 2$

To solve this system of equations, let's first add the equations together:

$(y) + (2x - y) = (2x + 6) + (2)$

$2x = 2x + 8$

$2x - 2x = 8$

$0 = 8$

There are no values of $x$ that will make this equation true, so the lines never intersect, and therefore there are no solutions to this system of equations.