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2 years ago

How many solutions are there to the equation below 9x + 27 = 9( x + 2 ) + 9

Mathematics

2 answers:

Nataly [62]2 years ago

7 0

Let's solve the equation:

9x+27 = 9(x+2)+9 ← Distribute 9 to the x and 2

9x+27 = 9x+18+9 ← Combine like terms

9x+27 = 9x + 27 ← Subtract 27 from both sides

9x = 9x

Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.

Mama L [17]2 years ago

6 0

9x + 27 = 9(x + 2) + 9

Simplify both sides of equation:

9x + 27 = 9(x + 2) + 9

9x + 27 = (9)(x) + (9)(2) + 9 (Distribute)

9x + 27 = 9x + 18 + 9

9x + 27 = (9x) + ( 18 + 9)

(Combine Like Terms:)

9x + 27 = 9x + 27

Subtract 9x from both sides:

9x + 27 - 9x = 9x + 27 - 9x

27 = 27

Subtract 27 from both sides:

27 - 27 = 27 - 27

0 = 0

Equations is always true

Answer: All real numbers are solutions: (Infinitely many solutions:)

Hope that helps!!! ( Answer: Letter Choice (B), Infinitely many solutions.).

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Read 2 more answers

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The last one $(x=11.3, y=8)$ .

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In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.

2) In this case, we are given a length and an angle to find x and y.

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