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

Answer:

The missing reason is Subtraction Property of Equality.

Step-by-step explanation:

$\frac{3}{2}x+5=-4$    ⇒ (Given)

On Solving we get;

Multiplying 2 on both side we get;

$2(\frac{3}{2}x+5)=-4\times2\\\\2\times \frac{3}{2}x+5\times 2=-4\times 2$

$3x+10=-8$   ⇒ (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;

$\frac{3x}{3} = \frac{-18}{3}$

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

Hence the missing reason is Subtraction Property of Equality.

Answer 2

Answer:

Subtraction property of equality

Step-by-step explanation:

This is because the equation subtracts 10 from both sides.