*In this case you can write down either equation as the solution to indicate they are the same line. To remove fractions: since fractions are another way to write division, and the inverse of divide is to multiply, you remove fractions by multiplying both sides by the LCD of all of your fractions. If one of the equations is already solved for one of the variables, that is a quick and easy way to go.*

*In this case you can write down either equation as the solution to indicate they are the same line. To remove fractions: since fractions are another way to write division, and the inverse of divide is to multiply, you remove fractions by multiplying both sides by the LCD of all of your fractions. If one of the equations is already solved for one of the variables, that is a quick and easy way to go.*If you need to solve for a variable, then try to pick one that has a 1 as a coefficient.The easiest route here is to solve the second equation for This equation is full of those nasty fractions.

If your variable drops out and you have a TRUE statement, that means your answer is infinite solutions, which would be the equation of the line.

If you come up with a value for the variable in step 4, that means the two equations have one solution.

Any time two or more things are added or subtracted in the numerator of a fraction, you can break that fraction into smaller fractions, each of which will contain one term of the original numerator and a copy of the denominator.

(If the terms contain variables, just stick them to the right of the fraction.) © 2004 by W.

If the system in two variables has one solution, it is an ordered pair that is a solution to BOTH equations.

In other words, when you plug in the values of the ordered pair it makes BOTH equations TRUE.If you get an infinite number of solutions for your final answer, is this system consistent or inconsistent? If you get an infinite number of solutions for your final answer, would the equations be dependent or independent? The graph below illustrates a system of two equations and two unknowns that has an infinite number of solutions: Here is the big question, is (3, 1) a solution to the given system?????Since it was a solution to BOTH equations in the system, then it is a solution to the overall system.Now let’s put (0, -1) into the first equation: If the two lines are parallel, then they never intersect, so there is no solution.If the two lines lie on top of each other, then they are the same line and you have an infinite number of solutions.The equations of a system are dependent if ALL the solutions of one equation are also solutions of the other equation. The equations of a system are independent if they do not share ALL solutions.They can have one point in common, just not all of them.So far, when I've asked you to solve an equation for a variable, it was pretty obvious which one I was talking about. That x is enjoying all the attention, like the only girl in an all-boys school.For example, to solve the equation 3x 2 = 23 , you'd solve for (isolate) the x variable. I need to add another skill to your equation-solving repertoire that will be extremely important in Graphing Linear Equations: how to solve for a variable when there's more than one variable in the equation.All rights reserved including the right of reproduction in whole or in part in any form.Used by arrangement with Alpha Books, a member of Penguin Group (USA) Inc.

## Comments How To Solve A Math Problem With 2 Variables

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