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Which of the following is the missing reason?


Statements Reasons
five thirds times x plus 2 equals negative 3 Given
5x + 6 = −9 ?
5x = −15 Subtraction Property of Equality
x = −15 Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality
Division Property of Equality
Multiplication Property of Equality

Respuesta :

Multiplication Property of Equality is the missing reason

Solution:

Given that,

five thirds times x plus 2 equals negative 3

Therefore,

[tex]\frac{5}{3}x + 2 = -3[/tex]

Multiplication Property of Equality

The Multiplication Property of Equality means that, if both sides of an equation is multiplied by same number, the equation still remains equal

[tex]\frac{5}{3}x + 2 = -3[/tex]

Multiply both sides by 3

[tex]3(\frac{5}{3}x + 2) = -3 \times 3\\\\5x + 6 = -9[/tex]

Subtraction Property of Equality

The Subtraction Property of Equality means that, we can subtract the same number from both sides of equation and the equation will still be true

5x + 6 = -9

Subtract 6 from both sides

5x + 6 - 6 = -9  - 6

5x = -15

Division Property of Equality

The Division Property of Equality means that, if both sides of an equation is divided by same number, the equation still remains true

5x = -15

Divide both sides by 5

x = -3

Answer: Multiplication Property Of Equality

Step-by-step explanation:

look at the image below

Ver imagen 48040974860
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