Two equations are if they have the same solutions 2 An equat

Two equations are if they have the same solutions. 2. An equation in x of the form ax = b is a(n) equation. 3. A(n) is an equation that is never true. 4. A(n) is an equation that is always true.

Solution

1. Two equations are equivalent if they have the same solutions.

For example, x - 5 = 6 and x - 11 = 0 are equivalent equations, since both have the same solution as x = 11.

2. An equation in x of the form ax=b is a linear equation.

It is an algebraic equation that have a combination of constants or the multiples of constants and the single variable.

3. A contradiction is an equation that is never true.

These equations have no solution, no matter how easy or complicated it is. 1 = 2

4. An identity is an equation that is always true.

These equations are always true no matter of the value of x you plug in.

For example, x+3 = x+3.