Question

Solve for x :


`\qquad \rightarrow\bf 4x + 9x + 2x = 30`

I Need explanation ​

Answer 1

x=2

Explanation:

1. Simplify the expression

4x+9x+2x=30

Simplify the arithmetic:

15x=30

2. Isolate the x

15x=30

Divide both sides by 15:

`(15x)/(15)=(30)/(15)`

Simplify the fraction:

`x=(30)/(15)`

Find the greatest common factor of the numerator and denominator:

`x=(2\cdot 15)/(1\cdot 15)`

Factor out and cancel the greatest common factor:

`x=2`

Why learn this

Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?

Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.

Terms and topics

• Linear equations with one unknown

Answer 2

x=2

Explanation:

combine like terms to get 15x=30. divide by 15 on both sides to get x=2