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The equation: 3 x = 7 will be false if any number except 4 is substituted for the variable. EQUIVALENT EQUATIONS Equivalent equations are equations that have identical solutions.The value of the variable for which the equation is true (4 in this example) is called the solution of the equation. Thus, 3x 3 = x 13, 3x = x 10, 2x = 10, and x = 5 are equivalent equations, because 5 is the only solution of each of them.In symbols, a - b, a c = b c, and a - c = b - c are equivalent equations.
Write an equation equivalent to 4x- 2-3x = 4 6 by combining like terms and then by adding 2 to each member.
Combining like terms yields x - 2 = 10 Adding 2 to each member yields x-2 2 =10 2 x = 12 To solve an equation, we use the addition-subtraction property to transform a given equation to an equivalent equation of the form x = a, from which we can find the solution by inspection. We want to obtain an equivalent equation in which all terms containing x are in one member and all terms not containing x are in the other.
The solution, no matter how complicated, is accompanied with steps which go in detail to explain the problem and it's properties.
I use this app mostly to check my work and see exactly where I went wrong in solving.
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How do you people do solve my math word problem for free so easily? I have corresponded with other people who gave up on those high-ticket options for aid as well .Solution Subtracting 3 from each member yields x 3 - 3 = 7 - 3 or x = 4 Notice that x 3 = 7 and x = 4 are equivalent equations since the solution is the same for both, namely 4.The next example shows how we can generate equivalent equations by first simplifying one or both members of an equation.Photomath is the #1 app to learn math, to take the frustration out of math and to bring more peace to your daily student life.Whether you are a mathlete or math challenged, Photomath will help you interpret problems with comprehensive math content from arithmetic to calculus to drive learning and understanding of fundamental math concepts. The text recognition is near perfect, even with my sloppy handwriting.The following property, sometimes called the addition-subtraction property, is one way that we can generate equivalent equations.If the same quantity is added to or subtracted from both members of an equation, the resulting equation is equivalent to the original equation.I just never seem to be able to solve a problem without going wrong a few times. Nevertheless , do not despair because I learned of an alternate solution that is affordable , uncomplicated to apply and more useable than I could have ever guessed .Following my experimentation with educational math computer software programs and nearly hanging it up , I noticed Algebrator.It is worth putting the money in for the the purchase of Algebrator since it offers effective training in Intermediate algebra and is available at an affordable rate. I have never worked with any software before , I didn't even know that they exist. Algebrator is a user friendly software and is surely worth a try. I use it as reference software for my math problems and can say that it has made learning math much more fun . They know the product is unmatched and you would never use it. Math can be a daunting task when you don't have the right support.