There are 2 different ways to solve a system of equations and the one I'm going to show you will work for all systems. To start we will solve one of the equations for either X or Y it doesn't matter which one so I will choose the second one. Divide both sides by negative 4 and you will have the solved equation. x=1+2y Now we know what x equals so we can plug "1+2y" into the other equation where we see an X and we will get -8(1+2y)=24-8y and since we only have one variable now we can solve to get what Y is. The first step is distributing -8-16y=24-8y now lets put the Y's together on one side and the numbers together on the other -32=8y and just divide both sides by 8 to get the value of Y -4=y Now that we have Y we can plug -4 into either equation as Y to get the value of X I will use the second equation. -4x=-4-8(-4) and solve for X -4x=-4+32 -4x=28 x=-7 So now we have x and y and we can write it as out solution (-7, -4)
I hope this helps and please don't hesitate to ask if there is anything still unclear!
Since there are two x-intercepts, -2 and 2, there is a positive discriminant. If the parabola was below the x axis and opened downwards, the discriminant would be negative.
