Question

What is the solution to the system of equations y=2x+4 and y=x?

Answer 1

(-4,-4)

Explanation:

set 2x + 4 and x equal to each other since they both equal 'y'

2x+4 = x

subtract 2x from each side to get:

4 = -x

divide by -1 so the variable becomes positive

-4 = x

if x=-4 and y=x then y=-4 also (you can check this by graphing each equation)

Answer 2

x = -4

y = -4

Explanation:

Since y = x, we can say:

x = 2x + 4

-x = 4

x = -4

And now we can substitute -4 in for x, in the equation y = x

y = -4

Hope this helps!