The answer depends on the nature of the equation.
Mathematicians are still not able to solve the Navier-Stokes equations, for example. In fact there is a million dollar (US) prize if you can figure out a general solution. The equations are not simply mathematical contrivances to create a challenge: they deal with fluid flow and are used for studying the flow of liquids inside a pipe, or air-flow over a plane's wings and so on.
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Quadratic, simultaneous and straight line equations
Maths are equations using letters or numbers.
It tells you the order in which the equation needs to be simplified.
They are very important in many areas such as maths and physics. They are used to work out unknown's. For example in physics if you know the current through a circuit, and the total resistance, and you need to find out the voltage, you can use the equation: Voltage= current * resistance, to work out.
Simultaneous equations are where you have multiple equations, often coupled with multiple variables. An example would be x+y=2, x-y=2. To solve for x and y, both equations would have to be used simultaneously.