You cannot change two existing, completed equations so that they are equal to each other. However, when working with two equations, you may set them equal to each other to solve a system of equations. An example is the system of 2x+5y=103x-5p=10 You may now combine the two, as they both are equal to ten. This results in the eqation of 2x+5y=3x-5p You may simplify this to 5y=x-5p This brings you one step closer to solving, and one may complete the system with some additional information.
In the same way that you would solve equations because equivalent expressions are in effect equations
equivalent equations
The solution of a system of linear equations is a pair of values that make both of the equations true.
An expression does not equate to anything. An equation is equal to something. Expression: x+2 Equation: x+4=2x Equivalent expressions: x+2 and 2x-2 if x=4 Equivalent equations: x+4=2x and -x+10=2x if x=4
Equations make complicated math procedures easier to accomplish and simpler to understand.
Equivalent equations are equations that have the same solution set.
Equivalent equations
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.
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
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
Equivalent meaning the equations are of equal value
equivalent equations