When solving linear equations with parentheses, you must first isolate the parenthetical expression by dividing both sides by the coefficient, then solve for the variable by performing inverse operations on both sides. For the equation 9(x + 4) = 27, dividing both sides by 9 gives x + 4 = 3, and subtracting 4 from both sides yields x = -1, which is the correct solution.
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9(x + 4) = 27 Answer is not 3. Many failed! Can you? #math #trending #explore #puzzles #algebraAdded:
Welcome everyone. So, you guys everyone thought that the answer for this one was supposed to be three, and which is actually correct. 9 * 3 gets you 27, correct? But unfortunately, instead of three, we are we have a bracket, which is saying x + 4.
So, basically, I can say value of x + 4 is nothing but just three.
Okay. In order to find the value of x, we will subtract both sides by four.
So, here you are just left with x + 0, which is just x.
3 - 4, when you do subtraction, is one.
But the sign will be of the bigger number, and four over here is negative.
So, the answer for x is basically minus one.
Let's put it back over here. So, basically, now you are having nine of nine multiplied by minus one plus four in a bracket.
So, when you take one from four, the answer is three, and the sign will be of a bigger value, bigger number, which is positive. So, your also answer will be just positive three. Which gets you 27, which is actually your RHS.
So, here we can say the value of x equals to minus one is absolutely correct for this particular question.
That's it for today. I will see you in the next video.
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