Not always. For example, X is equal to or less than 6 is not the same as X is equivalent to 6.
Equivalent equations are equations that have the same solution set.
Equivalent Equations
One way would be to solve the two equations. If they have exactly the same solution set, they are equivalent. Otherwise they are not.
Any equation which does not require you to divide by four, or its equivalent. For example 1600 divided by 5. There is an infinity of such equations.
Not always. For example, X is equal to or less than 6 is not the same as X is equivalent to 6.
Equivalent equations are equations that have the same solution set.
Equivalent equations
Two or more expressions (equations are examples) that are equal to or equivalent to each other; for example: (X+2)(X+4) = X^2+6X+8.
Equivalent Equations
In the same way that you would solve equations because equivalent expressions are in effect equations
Equations are said to be equivalent if they have the same solution. This definition also holds true in rational equations or equations involving rational expressions. For instance, the equations 2x = 14 and x - 3 = 4 are equivalent. Why? It's because they have the same solution, that is x = 7.
You can write an equivalent equation from a selected equation in the system of equations to isolate a variable. You can then take that variable and substitute it into the other equations. Then you will have a system of equations with one less equation and one less variable and it will be simpler to solve.
Sample Response: Equivalent equations have the same solution. You can create equivalent equations by performing the same operations on each side of the equation. You can check for equivalence by finding the solution for each equation.
One way would be to solve the two equations. If they have exactly the same solution set, they are equivalent. Otherwise they are not.
Any equation which does not require you to divide by four, or its equivalent. For example 1600 divided by 5. There is an infinity of such equations.
Without an equality sign the given terms can't be considered as equations but if you mean -2x = 10 and -5x = 25 then they are both equivalent inasmuch that the value of x in both equations works out as -5