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How can you tell that an equation has the same solution as the original equation?

If the two equations are linear transformations of one another they have the same solution.


Is satisfying an equation the same as solving it?

No. If an equation has many solutions, any one of them will satisfy it.


How does one calculate the debye frequency?

The Debye frequency describes the characteristic energy scale of lattice vibrations in a material. It can be calculated using the formula ω_D = (3k/m)*(N/V)^(1/3), where ω_D is the Debye frequency, k is the Boltzmann constant, m is the average atomic mass, N is the total number of atoms, and V is the volume of the material.


How would you prove that an inequality does have the same solution that an equation would have?

If you're given the inequality and the equation, then the way to prove that they have the same solution is to solve each one and show that the solutions are the same number. Don't strain yourself, though. An inequality and an equation never have the same solution.


Is addition for equality the same as subtraction for equality?

The properties are similar in that they function the same way, but they are not interchangeable. If you add to one side of the equation, you have to add to the other. If you subtract from one side of the equation, you have to subtract from the other.


When two gases of a chemical reaction are both at the same temperature and pressure and they have the same molar volume what is their stoichiometric ratio in the chemical equation describing the reac?

If the gases have the same molar volume, the stoichiometric ratio would be one to one. Molar volume is the volume occupied by one mole of a substance. This indicates that there is a 1:1 molar ratio of each gas.


Why is it important to keep both sides of the equation equal?

If both sides of an equation are not equal, it won't be an equation any more! In solving equations, the strategy is to change both sides in the same way, so that an 'equivalent' equation is produced. An equivalent equation has the same solution as the original equation. You are aiming for an equation in which the variable is alone on one side. The quantity on the other side is the solution.


How do you do a Equation?

perform the same operation(add, subtract, multiply or divide) to both sides until you isolate the unknown on one side of the equation


What is the equation for an ellipse with center at the origin ,one focus at (1,1) and the length of semi major axise is 4.?

This equation is equal to the first one because it produces the same results, always. ... TL;DR - The circle equation is what you get when you multiply all terms from the ellipse equation by the radius. x^2/a^2 + y^2/b^2 = 1 is an ellipse equation. Well, a circle has a radius where a and b are the same.


Does a quadratic equation has exactly one solution?

Normally it has two solutions but sometimes the solutions can be the same.


What is 126 multiplied by one third?

The equation 126 x 1/3 is the same as the equation 126/3. Thus, by dividing 126 by 3, you will get 42.


How is the best describes a balance reaction?

The correct answer is: A reaction that has the same number and type of atoms on each side of the equation.