# Write a system of equations with no solution

Gauss's law[ edit ] Gauss's law describes the relationship between a static electric field and the electric charges that cause it: Number of solutions algebra Video transcript We're asked to use the drop-downs to form a linear equation with no solutions. So a linear equation with no solutions is going to be one where I don't care how you manipulate it, the thing on the left can never be equal to the thing on the right. And so let's see what options they give us.

One, they want us to-- we can pick the coefficient on the x term and then we can pick the constant. So if we made this negative 11x, so now we have a negative 11x on both sides. Here on the left hand side, we have negative 11x plus 4. If we do something other than 4 here, so if we did say negative 11x minus 11, then here we're not going to have any solutions. And you say, hey, Sal how did you come up with that? Well think about it right over here. We have a negative 11x here, we have a negative 11x there.

If you wanted to solve it algebraically you could add 11x to both sides and both of these terms will cancel out with each other and all you would be left with is a 4 is equal to a negative 11, which is not possible for any x that you pick.

Another way that you think about it is here we have negative 11 times some number and we're adding 4 to it, and here we're taking negative 11 times that same number and we're subtracting 11 from it.

So if you take a negative 11 times some number and on one side you add four, and on the other side you subtract 11, there's no way, it doesn't matter what x you pick.

There's no x for which that is going to be true. But let's check our answer right over here.The addition method of solving systems of equations is also called the method of elimination. This method is similar to the method you probably learned for solving simple equations.. If you had the equation "x + 6 = 11", you would write "–6" under either side of the equation, and then you'd "add down" to get "x = 5" as the solution.x + 6 = 11 –6 –6.

Mathematics Enhanced Scope and Sequence – Algebra II Virginia Department of Education © 2 algebraically and Partner B to solve the same problem graphically. So study up, and make a note now to review "no solution" equations and "all-x solution" equations before the next exam.

Content Continues Below. For equations with parentheticals, take your time and write out all of your steps, like I did above. Don't try to do everything in your head. How to Balance Chemical Equations. In this Article: Article Summary Traditional Balance Algebraic Balance Community Q&A A chemical equation is a written symbolic representation of a chemical reaction.

The reactant chemical(s) are given on the left-hand . Flow velocity. The solution of the Navier–Stokes equations is a flow leslutinsduphoenix.com is a field, since it is defined at every point in a region of space and an interval of time.

leslutinsduphoenix.com Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation "Subtract y from 5" as 5 - y.

Partial differential equation - Scholarpedia