Consider the equations and
By letting , show that and thus solve the equation
okay, can you help me with this equation and also can someone tell me why it is neccesary to put in the form of y=mx?
It's necessary because that's what you have to do in this task
If you replace with in both equations and solve for , you will get the equation which is quadratic. To solve a quadratic equation, you need to calculate its discriminant where are the coefficients of the equation. The solutions are
Hello, requal!
That substitution is a useful method for solving. .Did you try it?
We can, of course, solve it head-on if you prefer . . .
Solve: .
Subtract [2] - [1]: .
Solve for
Substitute into [1]: .
. . which simplifies to: .
. . which factors: .
. . and has roots: .
Substitute into [3]: .
Answers: .