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lisabon 2012 [21]
3 years ago
10

2(x+3)=2x+6 how many solutions dose it have

Mathematics
1 answer:
LekaFEV [45]3 years ago
4 0

<em>Answer:</em>

<em>The right side of the equation is only a different way of writing the left side, so any value of x will solve this equation. </em>

<em> </em>

<em>The equation   − 2 (  x  +  3  )  =  − 2 x  −  6  does not have any specific solutions for the simple reason that the left and rigth sides are two representations of the same equation. </em>

<em> We have  − 2 (  x  +  3  )  means that each term inside the parenthesis should be multiplied with  − 2 , i.e.</em>

<em> − 2 (  x  +  3 )  =  − 2  ⋅  x  −  2  ⋅  (  +  3 )  =  − 2 x  −  6 </em>

<em> </em>

<em>Which is exactly what the right side says. </em>

<em> </em>

<em>Any value of x will, therefore, fulfill this equation.</em>

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Step-by-step explanation:

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STALIN [3.7K]

Answer:

4.2

Step-by-step explanation:

\mathrm{Write\:the\:numbers\:one\:under\:the\:other,\:line\:up\:the\:decimal\:points.}

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3 0
2 years ago
3 years from now, Ron's age will be 2 times that of Miley. Three years ago, Ron's age was 3 times that of Miley.
andrezito [222]

Answer:

M=9

EXPLANATION:

Let R represent Ronald’s present age. Let M represent Miley’s present age. Three years from now, Ronald and Miley will be R+3 and M+3 years old, respectively.

Your assertion “Three years from now, Ron’s age will be 2 times that of Miley's” can be written as

R + 3 = 2*(M + 3)

Similarly, your assertion “Three years ago, Ron's age was 3 times that of Miley's” can be written as

R - 3 = 3*(M-3)

We can add the left side of these equations together, and also the right side of these equations together, and obtain a new equation …

R + 3 + R - 3 = 2*(M + 3) + 3*(M - 3) = 2M + 6 + 3M - 9 = 5M - 3

This can be simplified to

2R = 5M - 3

We can divide both sides of the last equation by 2, and obtain ..

(2/2) * R = (5/2) * M - 3/2, or R = (5/2) * M - 3/2.

Now we can “plug in” the last equation into either of our first two equations of this post, and solve for M.

Using the first equation, we have

(5/2) * M - 3/2 + 3 = 2 *(M + 3) = 2M + 6

We now have

(5/2) * M + 3/2 = 2M + 6

The left side of this equation can be rewritten as

(5M + 3) / 2, so we obtain

(5M + 3) / 2 = 2M + 6

Multiplying both sides by 2, we have

5M + 3 = 4M + 12

Subtracting 4M and 3 from both sides, we obtain

M = 9

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