One Linear, One Non-linear (Leaving Cert Mathematics): Flashcards

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One Linear, One Non-linear
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What types of equations in this method?

One linear, one non-linear

How many intersection points typically?

Two points

First step to solve these equations

Solve for one variable

Second step after isolating a variable

Substitute into the other equation

Third step after substitution

Expand and simplify

Formula to solve resulting quadratic

−b±b2−4ac2a\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

After finding one variable

Substitute back to find the other

Typical number of solution pairs

Two coordinate pairs

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