SOLUTION: Determine the points of intersection of the parabola y = x ^ 2 - 6x + 2 and the line 2x + 3y = 1, and show how you're calculating.

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Determine the points of intersection of the parabola y = x ^ 2 - 6x + 2 and the line 2x + 3y = 1, and show how you're calculating.      Log On


   

Question 885209: Determine the points of intersection of the parabola y = x ^ 2 - 6x + 2 and the line 2x + 3y = 1, and show how you're calculating.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Try solving one of the equations for a variable and substitute into the other equation and solve for a single variable. You would find solving the linear equation for y to be most comfortable. Substitute the expression you find for y into the quadratic equation and this gives you an equation in just the variable x. Solve for it. Now, use the linear equation to find the corresponding values for y.

If you understood what was explained, you should be able to handle the steps yourself. I also suggest trying to make a sketch of the two equations, but this is not necessary.