# System of linear-quadratic equations

##### Intros

###### Lessons

- • The solutions to a system of equations are the points of intersection of the graphs.

• For a system consisting of a linear equation and a quadratic equation:

linear equation: $y = mx + b$

quadratic equation: $y = a{x^2} + bx + c$

There are 3 cases to consider:

case 1: 2 solutions case 2: 1 solution case 3: no solutions

##### Examples

###### Lessons

**Case 1: System with 2 Solutions****Case 2: System with 1 Solution****Case 3: System with No Solutions**

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###### Topic Notes

The solutions to a system of equations are the points of intersection of their graphs. There are 3 cases you will come across when trying to solve the system. There can be 2 solutions, 1 solution or even no solutions.

###### Basic Concepts

2

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5

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