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3 years ago

Use the distributive property to solve the equation. 2 (x – 9) = 10

Mathematics

1 answer:

scoundrel [369]3 years ago

5 0

Answer:

x = 14

Step-by-step explanation:

Hi,

To begin, distribute the 2 to the x and -9.

So...

2 ( x - 9 ) = 10

2x - 18 = 10

2x = 28

x = 14

I hope this helps :)

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3 years ago

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The number of restaurant-purchased meals eaten in a restaurant is 75, the number eaten in a car is 33 and the number eaten at home is 55.

Step-by-step explanation:

Suppose, the number of meals eaten in a restaurant is $x$ , in a car is $y$ and at home is $z$

The total number of meals eaten in a restaurant, in a car or at home is given as 163. So, the first equation will be......

$x+y+z=163 .............................(1)$

The total number meals eaten in a car or at home exceeds the number eaten in a restaurant by 13. So, the second equation will be......

$y+z=x+13 ................................(2)$

Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. So, the third equation will be......

$x= z+20..................................(3)$

First, substituting equation (2) into equation (1), we will get........

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Now plugging this $x=75$ into equation (3), we will get......

$75=z+20\\ \\ \Rightarrow z=75-20= 55$

Plugging $x=75$ and $z=55$ into equation (1) .........

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