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SVEN [57.7K]
3 years ago
12

Solving simultaneous equations by algebraic methods 3a+4x=29 2a-3x=-9

Mathematics
1 answer:
kogti [31]3 years ago
4 0
<span>3a+4x=29 (1st)
2a-3x=-9 (2nd)

multiply (1st) by 3 and (2nd) by 4

</span>9a + 12x = 87 (1st)
8a - 12x = -36 (2nd)
---------------------add
17a = 51
   a = 3

<span>2a-3x=-9
</span><span>2(3)-3x=-9
6 - 3x = -9
-3x = -15
   x = 5

answer
x = 5 and a = 3</span>
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Joseph ran LaTeX: 2\frac{3}{4}2 3 4 miles in LaTeX: \frac{2}{5}2 5 of an hour. How fast did Lin run in 1 hour? (try to leave you
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Nathaniel ran fastest

Step-by-step explanation:

For Joseph

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Speed = Distance/Time

Speed = 2 3/4 miles ÷ 2/5 hour

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How fast did he run in 1 hour? (try to leave your answer in a fraction)

Hence, this is calculated as:

2/5 hour = 55/8 miles per hour

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Cross Multiply

x = 55/8 ÷ 2/5

x = 55/8 × 5/2

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Nathaniel ran LaTeX: 8 2/3 miles in 4 /3 of an hour. How fast did Nathaniel run in 1 hour? (try to leave your answer in a fraction)

Speed = Distance/Time

Speed = 8 2/3 miles ÷ 4/3hour

= 26/3 ÷ 4/3

= 26/3 × 3/4

= 26/4 miles/hour

How fast did he run in 1 hour? (try to leave your answer in a fraction)

Hence, this is calculated as:

4/3 hour = 26/4miles per hour

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Cross Multiply

x = 26/4 ÷ 4/3

x = 26/4 × 3/4

x = 78/16 miles per hour

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Who ran the fastest, Nathaniel or Joseph?

Hence, from the calculation above, Nathaniel ran fastest

5 0
3 years ago
How do I solve these?​
monitta

Answer:

I don't know

Step-by-step explanation:

is there a picture of a graph or anything

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3 years ago
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