Question

At which point do the two equations 3x+5=y+4x and y=x^2 intersect?

Answer 1

1) Since those lines have two common points, we can simplify the linear equation as:

3x +5=y+4x

3x-4x -y=-5

-x -y = -5

-x-y+5=0

-y +5=x

-y=x

And now equate with that quadratic:

-x-y+5 =