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Drag each equation to show if it could be a correct first step to solving the equation 2(x + 7) = 36.

A 2x + 14 = 36
B (2 • x) + (2 • 7) = 36
C 2x + 7 = 36
D 2(x + 7) = 72
E x + 14 = 36
F x + 7 = 18
Yes No Not Enough Information

Sagot :

Answer:

Given equation: 2(x+7) = 36.                ......[1]

Distributive Property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately i.e,

[tex]a \cdot (b+c) =a\cdot b+ a\cdot c[/tex]

Then,

By using the distributive property in equation [1];

2(x+7) = 36

[tex](2 \cdot x) + (2 \cdot 7) =36[/tex]

Simplify:

[tex]2x+14=36[/tex]

Divide both sides by 2 in above equation:

[tex]\frac{2x+14}{2} =\frac{36}{2}[/tex]

Simplify:

x+7 = 18.

Therefore, the first correct step would be option B,

after that the next step would be option A then option F as shown above;

Remaining options are not enough information to solve the given equation  2(x+7) = 36.  


Answer:

Therefore, the first correct step would be option B,

after that the next step would be option A then option F as shown above;

Remaining options are not enough information to solve the given equation  2(x+7) = 36.  

Step-by-step explanation:

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