Question

Which of the following is the missing reason? Statements Reasons two thirds times x plus 7 equals negative 5 Given 2x 21 = â’15 Multiplication Property of Equality 2x = â’36 Subtraction Property of Equality x = â’18 ? Division Property of Equality Distributive Property Addition Property of Equality Subtraction Property of Equality.

Answer 1

The correct option is B. Distributive property

Given,

$\frac{2}{3} x+7=-5$

On solving the above equation,

multiplying both sides by 3 we, get

$2x+21=-15$

now subtracting 21 from both the sides,

$2x=-36$

dividing both the sides by 2 we get,

$x=-18$

Since in the above steps we follow all the giving property except the distributive property.

Hence the correct option is B. Distributive property.

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