Question

which of the following is the missing reason? Statements Reasons three halves times x plus 5 equals negative 4 Given 3x + 10 = −8 Multiplication Property of Equality 3x = −18 ? x = −6 Division Property of Equality Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality

Answer 1

Subtraction property of equality

Explanation:

This is because the equation subtracts 10 from both sides.

Answer 2

The missing reason is Subtraction Property of Equality.

Explanation:

`(3)/(2)x+5=-4` ⇒ (Given)

On Solving we get;

Multiplying 2 on both side we get;

`2((3)/(2)x+5)=-4*2\\\\2* (3)/(2)x+5* 2=-4* 2`

`3x+10=-8` ⇒ (Multiplication Property of Equality)

Now Subtracting Both side by 10 we get;

`3x+10-10=-8-10`

`3x = -18` ⇒ (Subtraction Property of Equality)

Now Dividing both side by 3 we get;

`(3x)/(3) = (-18)/(3)`

`x=-6` ⇒ (Division Property of Equality)

Hence the missing reason is Subtraction Property of Equality.