Question

In step 2, the ________ was equally appliedIn step 4, the_________ was equally applied

Answer 1

Properties of equality:

Reflexive property:

For all real values x, we have that x = x, that is, a number is equal to itself.

Symmetric:

If x = y, then y = x.

Transitive:

If x = y and y = z, then x = z.

Addition:

If x = y, then x + z = y + z

Subtraction:

If x = y, then x - z = y - z.

Multiplication:

If x = y, then xz = yz

Division:

If x = y, then x/z = y/z

Substitution:

If x = y, then x can be replaced by y in any expression.

Distributive:

Distributive: x(y+z) = xy + xz

In this question:

Step 2:

We subtract 5 on both sides, so we apply the subtraction property.

Step 4:

We multiply both sides by 4, so we apply the multiplication property.