Question

Help please? Explain. Quadratic functions/ equations and such

Solve the system of equations algebraically. Show all your steps.
y=x^2+2x
y=3x+30

Answer 1

1. Substitute the y in the first equation by the y in the second equatio
2. Rearrange so that all the terms in the substituted equation is on one side
3. You should now end up with a quadratic equation in terms of x. Solve it to find the values of x!
4. Now you know the possible values of x, you can find the corresponding values of y.

Answer 2

Do you follow the steps?

Answer 3

Equate the RHS of each equation to each other as shown below and then solve the resulting equation for x :
x^2 + 2 x = 3 x + 30
Use the x values to calculate the cooresponding y values.