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Aliun [14]
3 years ago
8

Yelena needs to swim a total of 8 miles this

Mathematics
2 answers:
earnstyle [38]3 years ago
7 0

Answer:

3 miles

Step-by-step explanation:

5 + m=8

Subtract 5 from each side

5-5 + m=8-5

m = 3

She needs to swim 3 more miles

weeeeeb [17]3 years ago
6 0

Answer:

Yelena needs to swim 3 more miles

Step-by-step explanation:

You need to solve for the variable "<em>m</em>", which represents the miles. Based on the information, Yelena swam 5 miles and she needs to swim 8. Solve:

5+m=8

To find the value of <em>m</em>, you need to isolate it on one side of the equation. To do this, you need to get the 8 and 5 on the same side of the equal operation. For this, you need to use reverse operations. This undoes the value from one side and does the same on the other, keeping the equation balanced. Since we have a "positive 5", we take the opposite, which would be a "negative 5". So subtract 5 from both sides of the equation:

5-5+m=8-5

Simplify. The 5's cancel each other out, leaving 0. 8-5 is 3:

m=3

The total miles left that Yelena needs to swim is 3 miles.

:Done

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What values of x and y satisfy the system of equations {10x+3y=−5−5x−4y=10? (0,−53) (25,−3) (−2,0) (12,−103)
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Answer:

<em>The solution of the equation </em>

<em>( 0.4 ,-3)</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u><em>Step(i):</em></u>-

Given system of equations

                                  10 x+3 y = −5 ...(i)

                                 - 5 x - 4 y = 10 ...(ii)

Multiply (i) with '5'

          10 × 5 x +  3×5 y = - 25  

              50 x + 15 y = 25 ...(iii)

Multiply (ii) with '10'

        -5 × 10 x - 4×1 0 y = 100

       - 50 x - 40 y =100 ...(iv)

<u><em>Step(ii)</em></u>:-

Solving (iii) and (iv)

        50 x + 15 y =- 25

     <u>  - 50 x - 40 y =100</u>

                - 25 y = 75

Dividing ' - 25' on both sides, we get

               <em>    y = -3</em>

<em>substitute y = -3 in equation (i) , we get</em>

<em>            </em>  10 x+3 y = −5

             10 x - 9 = - 5

                10 x = -5 + 9

                    x = \frac{4}{10}

                 <em>  x =  0.4  </em>

<u><em>Final answer</em></u>:-

 <em>The solution of the equation   ( 0.4 ,-3)</em>

           

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3 years ago
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