Best Answer

No, if two lines are parallel they will not have a solution.

User Avatar

Wiki User

โˆ™ 2012-09-27 20:36:56
This answer is:
User Avatar
Study guides


20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

See all cards
1196 Reviews

Add your answer:

Earn +20 pts
Q: Does every system of a linear equation have a solution?
Write your answer...
Still have questions?
magnify glass
Related questions

What is a system of linear equations that has no solution?

there is no linear equations that has no solution every problem has a solution

What is answer x plus y equals 4?

This is a linear equation in two variables and the coordinates of each and every point on the line that it describes is a solution. A single linear equation does not have an "answer".

What is a linear line with no solutions?

Linear means referring to a line, so a line must be linear! Every point on any line is a solution to the equation that defines the line.

Can you solve an equation if it has no solution?

Every equation has a solution.

What symbol is in every linear equation?

An equality symbol such as =

What is 5g plus 2 equals 4p-1?

It's a linear equation in two variables . . . 'g' and 'p'. The graph of this equation is a straight line. The coordinates of every point on the line are a solution of the equation. There are an infinite number of them.

When you are solving a system of linear equations what are you trying to find?

You are trying to find a set of values such that, if those values are substituted for the variables, every equation in the system is true.

How many solution does a linear equation in two variables have?

Infinitely many. Assuming the variables are "x" and "y" , for every value of "x" a value for "y" can be calculated.

Is it possible to have a system of linear inequalities where solution is every point in the entire?

Yes, you can say something like y < infinity and y > -infinity .

How do you decide how many solutions a linear system in three variables has?

Put the coefficients of the variables into a 3x3 matrix, and take the determinant of the matrix. If the determinant is not zero, then there is one solution. If the determinant is zero, then there are infinite solutions or there is no solution. Think of a system of 2 variables, for simplicity. You have 2 equations and 2 variables (x &amp; y). Each equation can be graphed as a straight line, hence the name 'linear system'. If the 2 lines are not parallel, then there will be only one point where they intersect, which is the one solution to the linear system. If they are parallel, then there is no solution(they never intersect), and if the two lines coincide, then infinite solutions(they intersect at every point). In both of the latter cases, the related matrix will have a determinant of zero.

What are equations with the same solution?

Equations with the same solution are called dependent equations, which are equations that represent the same line; therefore every point on the line of a dependent equation represents a solution. Since there is an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 2x + y = 8 4x + 2y = 16 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. A system of linear equations is consistent if there is only one solution for the system. A system of linear equations is inconsistent if it does not have any solutions.

What is the y-coordinate that satisfies the linear equation y-x 4?

Each and every value of y will satisfy any linear equation in which both x and y appear.

People also asked