Equivalent equations are equations that have the same solution set.
Equivalent Equations
If one (or more) of the equations can be expressed as a linear combination of the others. This is equivalent to the statements the matrix of coefficients does not have an inverse (or is singular), or the determinant of the matrix of coefficients is zero.
One way would be to solve the two equations. If they have exactly the same solution set, they are equivalent. Otherwise they are not.
Equations that have the same solution.
Equivalent equations are equations that have the same solution set.
Equivalent equations
Equivalent 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.
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.
In the same way that you would solve equations because equivalent expressions are in effect equations
If one (or more) of the equations can be expressed as a linear combination of the others. This is equivalent to the statements the matrix of coefficients does not have an inverse (or is singular), or the determinant of the matrix of coefficients is zero.
One way would be to solve the two equations. If they have exactly the same solution set, they are equivalent. Otherwise they are not.
Equations that have the same solution.
Equal is the truth table and the circuit are the same. Equivalent is when the truth table is the same but the circuit is different
The equations are equivalent.
Two equations are said to be equivalent if and only if they have the same solutions.y = (x - 3)2 + 5