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2 years ago

Help me please!!! It’s due at 11:59

Mathematics

1 answer:

Temka [501]2 years ago

7 0

Answer:

Step-by-step explanation:

Let the required number be x.

write the expression for the difference of the number and 4.

=> x - 4

the question equates 5 times the difference with some other terms, so find the equation for 5 times the difference.

=> 5( x - 4)

The equation in Step 2 is said to be equal to "two less than four times the number".

Find the expression for four times the number

=> 4x

Find the expression for two less than 4x.

=> 4x - 2

Equate the terms that it says are equal:

=> 5(x - 4) = 4x - 2

distributing 5 within the parenthesis:

=> 5x - 20 = 4x - 2

taking like terms on one side:

=> 5x - 4x = 20 - 2

(the sign carried by the terms get inverted while changing their sides)

=> x = 18

and x was the required number, so the answer Is 18. 

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