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Stella [2.4K]
2 years ago
9

Write down the solution to the simultaneous equations.

Mathematics
1 answer:
julia-pushkina [17]2 years ago
4 0

Answer:

x = 5/2; y = 7

Step-by-step explanation:

2x + y = 12

y = 2x + 2

Use substitution to replace y in the first equation with 2x + 2.

2x + 2x + 2 = 12

4x + 2 = 12

4x = 10

x = 10/4

x = 5/2

y = 2x + 2

y = 2(5/2) + 2 = 5 + 2

y = 7

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9) Order the fractions from least to greatest. 2 4 , 4 5 , 7 10 , 2 3 A) 2 4 , 7 10 , 2 3 , 4 5 B) 7 10 , 2 4 , 2 3 , 4 5 C) 2 4
iren [92.7K]

Answer:

C) \frac{2}{4}, \frac{2}{3}, \frac{7}{10}, \frac{4}{5}

Step-by-step explanation:

Given fractions:

\frac{2}{4}, \frac{4}{5}, \frac{7}{10},\frac{2}{3}

To arrange the fractions from least to greatest.

Solution:

In order to arrange the fractions from least to greatest, we need to make the denominators common by taking LCD.

LCD of 4,5,10,3 can be found using their multiples.

4= 4,8,12,16,20,24,28,32,36,40,.........60

5= 5,10,15,20,25,30,.........60

10= 10,20,30,40,50,60

3= 3,6,9..........................60

So, 60 is the LCD.

Making the denominators common by multiplying same numbers to numerator and denominator.

\frac{2}{4}=\frac{2\times 15}{4\times 15}=\frac{30}{60}

\frac{4}{5}=\frac{4\times12}{5\times 12}=\frac{48}{60}

\frac{7}{10}=\frac{7\times 6}{10\times 6}=\frac{42}{60}

\frac{2}{3}=\frac{2\times 20}{3\times 20}=\frac{40}{60}

Comparing the numerators we can arrange the fractions.

\frac{2}{4}, \frac{2}{3}, \frac{7}{10}, \frac{4}{5}

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24 cans in total is your answer

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