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A linear can't have more than one solution. WRONG!
A linear system can have more than 1 solution. It can also have no solution.
Example: x+y=1
z+y=2
This system has infinitely many solutions. Y can equal anything and x and z can then be determined.
Example: x+y=1
y=1
x=5
This system obviously has no solution because if x=5 and y=1, then x+y can never equal 1.
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Does an equation always have one solution?
Only a linear equation in one variable x , which is an equation of the form ax + b = 0, (where a is different than 0), has only one solution. The solution is: x = -b/a
How many solution does a linear equation in one variables have?
One
Define linear equation in one variable?
An equation of one variable and of first order (i.e., its highest power is one) is called a Linear equation in one variable.Such an equation has only one solution. A solution is also called the 'root' of the given equation.An equation of one variable and of first order (i.e., its highest power is one) is called a Linear equation. Such an equation has only one solution. A solution is also called the 'root' of the given equation.Solving linear equations in one variableFor Example Solve X/4 - (X-3)/6 = 1Solution:Multiplying throughout by the LCM of the denominators (which is 12):3x - 2 (x - 3) = 123x - 2x + 6 = 12x = 12 - 6x = 6
What is y equal -3x-2?
-1
An equation has one solution?
A linear equation in one variable has one solution. An equation of another kind may have none, one, or more - including infinitely many - solutions.
