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In a linear equation, the highest power of all variables is 1.
eg
y = x + 3
In this example, the variable (x) has a power of 1 (remember, x1 is the same as x).
Therefore, a linear equation.
eg 2
y = x2 +7
eg 3
y = p3 + p - 89
In example 2 and 3, variables have a power higher than 1.
Hence, they are non-linear equations.
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Can you tell how a quadratic equation can become linear equation?
You can easily tell by substituting 0 for a.
How can you tell that an equation has the same solution as the original equation?
If the two equations are linear transformations of one another they have the same solution.
How can you tell a linear function from an equation?
An equation is a statement that two things are equal. A function is a rule or process that gives you a value if you give it something in its domain (the set of things on which it is defined) as an argument. Functions on numbers that are defined by a rule can usually be expressed by an equation. A linear function is one that can be defined by a linear equation.
How can you tell if an equation has at most one solution without solving it?
You can be certain if the equation is linear, that is, of the form ax + b = 0 where a and b are constants.
Is the equation 3s equals 2t linear or nonlinear?
A linear equation has no higher powers than 1. This is linear.
