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Harman [31]
4 years ago
13

Multi -step equation with integers solve for this equation 2x+x=-21

Mathematics
1 answer:
Delvig [45]4 years ago
4 0
2x+x=-21\\
3x=-21\\
x=-7
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Use the method of elimination to solve the pair of simultaneous equation 3a=2b+1,3b=5a-3​
BARSIC [14]

Answer:

       a = 3

        b = 4

Step-by-step explanation:

Simultaneous equation

              3a = 2b + 1

         3a - 2b = 1  ------------------(I)

               3b  = 5a - 3

       -5a + 3b = -3 --------------(II)

Multiply equation (I) by 3  & equation (II) by  2 and then add. So, now 'b' will be eliminated and we can find the value of 'a'.

(I)*3       9a - 6b = 3

(II)*2    <u>-10a + 6b = -6</u>  {Now add}

            -a            = -3

                       a = -3/(-1)

        \sf \boxed{a  = 3}

Plugin a = 3 in equation (I)

              3*3 - 2b = 1

                  9 - 2b = 1

                     -2b  = 1 - 9   {Subtracting 9 from both sides}

                      -2b = - 8        

                         b = (-8)/(-2)         {Dividing both sides by (-2_}

          \sf \boxed{b = 4}                      

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During a volleyball training session, Keela drank twice as much water as Carol, and Xavier drank 100 mL more water than Keela. B
vladimir2022 [97]

Answer:

580ml

Step-by-step explanation:

Let The quantity of water drank by Carol be x

Now given that Keela drank twice as much water as Carol which means the quantity of water drank by Keela is 2x

Also given that Xavier drank 100 mL more water than Keela which means the quantity of water drank by Xavier is 2x+100

Total water consumed by all the three is 3 litres=3000 ml

Total water drank = Water drank by Keela + Water drank by Xavier +Water drank by carol

3000=x+2x+2x+100

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x=580ml

Carol drank 580ml of water.

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