Answered

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2x + 9 + 3x + x = __x + __Fill in the empty spaces to make this equation have one solution

Sagot :

Answer:

2x + 9 + 3x + x = 7x + 5

Explanation:

The expression on the left side is equal to

2x + 9 + 3x + x

Adding the like terms, we get

(2x + 3x + x) + 9

6x + 9

Then, the given equation is

2x + 9 + 3x + x = __x + __

To make this equation have one solution, the coefficient of x on the right side has to be different from 6, which is the coefficient of 6x + 9.

Therefore, we can fill the empty spaces as

2x + 9 + 3x + x = 7x + 5

Solving this equation, we get:

(2x + 3x + x) + 9 = 7x + 5

6x + 9 = 7x + 5

6x + 9 - 5 = 7x + 5 - 5

6x + 4 = 7x

6x + 4 - 6x = 7x - 6x

4 = x

Therefore, the only solution is x = 4.

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