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If the slope of the equations are the same then they are parallel If the slope of the equations are minus reciprocal then they are perpendicular If the slope of the equations are different then they are neither
Equations have and can only have a = Inequalities have <, >, greater than or equal to, less than or equal to, or =
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You need differential equations and partial differential equations to describe and predict the dynamic behaviour of systems. Newton and Laplace developed differential equations originally and simultaneously (using different notation) to work with gravity and the movement of the moon and planets.
Algebraic equations, trigenometric equations, linear equations, geometric equations, partial differential equations, differential equations, integrals to name a few.
All linear equations are functions but not all functions are linear equations.
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The answer depends on the nature of the equation. Just as there are different ways of solving a linear equation with a real solution and a quadratic equation with real solutions, and other kinds of equations, there are different methods for solving different kinds of imaginary equations.
If the slope of the equations are the same then they are parallel If the slope of the equations are minus reciprocal then they are perpendicular If the slope of the equations are different then they are neither
The slopes (gradients) of the two equations are different.
Equations have and can only have a = Inequalities have <, >, greater than or equal to, less than or equal to, or =
That means the same as solutions of other types of equations: a number that, when you replace the variable by that number, will make the equation true.Note that many trigonometric equations have infinitely many solutions. This is a result of the trigonometric functions being periodic.
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No the only time that a system of equations would have no solutions is when the two equations have the same slope but different y-intercepts which would mean that they are parallel lines. However, if they have different slopes and different y-intercepts than the solution would be where the two lines intersect.