math

________ equations have the same solution.

Equivalent

By the​ _______ property of​ equality, x equals negative 2x=−2 and x plus 10 equals negative 2 plus 10x+10=−2+10 are equivalent equations.

addition

a. If a true statement​ results, then the equation has​ _______ solution(s). b. If a false statement​ results, then the equation has​ _______ solution(s).

all real numbers no

The addition property of equality means that the same real number can be added to​ _____ of an equation and it gives an equivalent equation.

both

Identify the following as an equation or an expression. xequals=minus−5

equation

​A(n) ________contains an equals sign ​(equals=​) while​ a(n) ________ does not.

equation expression

By the​ _____ property of​ equality, yequals=one half 1 2 and 5 times •yequals=5 times •one half 1 2 are equivalent equations.

multiplication

A value of the variable that makes the equation a true statement is called​ a(n) ______ of the equation.

solution

The process of finding the solution of an equation is called _________ the equation for the variable.

solving

We can multiply both sides of an equation by​ _______ and have an equivalent equation.

the same none zero number