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max2010maxim [7]
3 years ago
14

5 1/3 + x = 2 1/2. Use least common denominator or easiest common denominator. Please work out

Mathematics
1 answer:
julia-pushkina [17]3 years ago
7 0

Answer:

The answer is x = -17/6.

Step-by-step explanation:

Given:

5 1/3 + x = 2 1/2 . Using least common denominator.

Now, to solve the equation:

5\frac{1}{3}+x=2\frac{1}{2}

=\frac{16}{3} +x=\frac{5}{2}

Subtracting both sides from 16/3 we get:

x=\frac{5}{2}- \frac{16}{3}

Now, the least common denominator of 2 and 3 is 6.

So, we using this we calculate:

x=\frac{5\times 3-16\times 2}{6}

x=\frac{15-32}{6}

x=\frac{-17}{6}

Therefore, the answer is x = -17/6.

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How would I solve this? i know how to solve easier variations but not like this the question is:
IRISSAK [1]

The linear function with values of f(-1)=8 and f(5)=6 is  f(x) = \frac{-x+23}{3}.

What is linear function?

 A straight line on the graph has the equation or formula y = f(x) = px + q is linear function .One independent and one dependent variables are present. X and Y are the independent and dependent variables, respectively. P is the y-intercept or constant term, and it also represents the value of the dependent variable. A straight line on the coordinate plane is represented by a linear function.

Here the given  values are f(-1)=8 and f(5)=6.

We know that f(x)=y , Then the points are (-1,8) and (5,6).

Using slope formula ,

=> slope m= \frac{y_2-y_1}{x_2-x_1}

=> slope m = -2/6=-1/3

Now using slope formula,

=> y-y_1=m(x-x_1)

=>y-8=-1/3(x+1)

=>3y-24=-x-1

=> 3y=-x+23

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Hence the linear function is f(x) = \frac{-x+23}{3}.

To learn more about linear function refer the below link

brainly.com/question/28899900

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Answer:

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Step-by-step explanation:

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