If you multiply or divide an equation by any non-zero number, the two sides of the equation remain equal. This property is almost always needed for solving equations in which the variables have coefficients other than 1.
Equals multiplied by equals are equal.
"Inverse Operation(s)"
Yes.
You should state the property used, such as distributive property of multiplication over addition or addition property of equality, etc.
None. 7x - 1 is not equal to 7x - 7.
division property of equality or multiplication property, if you multiply by the reciprocal
Because you need to use inverse operations and the opposite of multiplication is division.
Properties of EqualitiesAddition Property of Equality (If a=b, then a+c = b+c)Subtraction Property of Equality (If a=b, then a-c = b-c)Multiplication Property of Equality (If a=b, then ac = bc)Division Property of Equality (If a=b and c=/(Not equal) to 0, then a over c=b over c)Reflexive Property of Equality (a=a)Symmetric Property of Equality (If a=b, then b=a)Transitive Property of Equality (If a=b and b=c, then a=c)Substitution Property of Equality (If a=b, then b can be substituted for a in any expression.)
8 addition subtraction multiplication division reflexive symmetric transitive substitution
The multiplication property of equality is, as the name suggests, a property. It does not require solving!
The multiplication property allows you to multiply both sides of an equation by any non-zero constant without affecting the solutions to the equation. In this context, division by any number (other than 0) is equally valid. These two properties are equivalent in the sense that dividing through by any non-zero number x is the same as multiplying through by 1/x. These properties can be used to change the coefficients of the variables in simultaneous equations. The modified equations can then be added or subtracted together to eliminate one or more of the variables - provided at least one variable is left.
7m=m+40
AdditionSubtractionMultiplicationDivisionReflexiveSymmetricTransitiveSubstitution
Equals multiplied by equals are equal.
A*(b*c)=(a*b)*c
it means your mom
That is used mainly to solve equations.