0
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.
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
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
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
How many solution does a linear equation in one variables have?
One
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.
What is a system of equations that has at least one solution?
a linear equation
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.
What is 35 equals 3 plus 5x?
It is a linear equation in one variable, x. The solution to the equation is x = 6.4
It is impossible for a system of two linear equations to have exactly one solution. True or False?
False, think of each linear equation as the graph of the line. Then the unique solution (one solution) would be the intersection of the two lines.
What is the solution to a linear equation?
The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.
What is 3y plus 9x-18 equals 0?
It is a linear equation in two variables (x and y). Since there are two variables and only one equation, there can be no solution for x or y - other than in terms of one another (which just results in rewriting the one equation).
How do you figure out if an equation is a linear equation?
An equation is linear if the highest power of the unknown in the equation is 1for example an equation with just a variable to the power one such as x, y and so on is linear but one with x2, y2 and above is not linear
Can a system of linear equation have more than one solutions?
No. A linear equation represents a straight line and the solution to a set of linear equations is where the lines intersect; two straight lines can only intersect at most at a single point - two straight lines may be parallel in which case they will not intersect and there will be no solution. With more than two linear equations, it may be that they do not all intersect at the same point, in which case there is no solution that satisfies all the equations together, but different solutions may exist for different subsets of the lines.
Why do you isolate the variable on one side the the equation when solving a linear equation?
Isolating a single variable in terms of the rest of the equation provides a solution to that variable. That is, if you know the equation that equals the variable, then you can figure out its value.
