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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.
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
What is a system of equations that has at least one solution?
a linear equation
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.
What is a solution of a linear equation called?
Ordered Pair * * * * * An ordered SET. There can be only one, or even an infinite number of variables in a linear system.
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.
What are the zeros of a linear equation?
A linear equation can have only one zero and that is the value of the variable for which the equation is true.
Does the equation 4x-3 equals 12 plus 2x has exactly one solution?
Yes, because the equation is linear, there is only one solution:4x - 3 = 12 +2x4x - 2x = 12 + 32x = 15x = 7.5There is no other solution
How do you solve the linear equation x plus y equals 8 and x plus y-7?
1
What is r times 1 equals 1?
It is a linear equation in one variable r. The solution to the equation is r = 1.
