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Inga [223]
3 years ago
7

1/2x+1/4y=6. 1/5x+1/3y=1

Mathematics
2 answers:
Savatey [412]3 years ago
8 0
<u>1st Step:</u>

\frac { 1 }{ 2 } x+\frac { 1 }{ 4 } y=6\\ \\ 4\left( \frac { 1 }{ 2 } x+\frac { 1 }{ 4 } y \right) =6\cdot 4\\ \\ 2x+y=24\\ \\ y=24-2x

<u>2nd Step:</u>

\frac { 1 }{ 5 } x+\frac { 1 }{ 3 } y=1\\ \\ 15\left( \frac { 1 }{ 5 } x+\frac { 1 }{ 3 } y \right) =1\cdot 15

\\ \\ 3x+5y=15\\ \\ 5y=15-3x\\ \\ 5y=3\left( 5-x \right) \\ \\ y=\frac { 3\left( 5-x \right)  }{ 5 }

<u>3rd Step:</u>

\frac { 3\left( 5-x \right)  }{ 5 } =24-2x

\\ \\ 5\cdot \frac { 3\left( 5-x \right)  }{ 5 } =5\left( 24-2x \right) \\ \\ 3\left( 5-x \right) =120-10x

\\ \\ 15-3x=120-10x\\ \\ -3x+10x=120-15\\ \\ 7x=105\\ \\ x=\frac { 105 }{ 7 }

\\ \\ \therefore \quad x=15

<u>4th Step (When x=15):</u>

y=24-2\left( 15 \right) \\ \\ y=24-30\\ \\ \therefore \quad y=-6
Ierofanga [76]3 years ago
3 0
\frac{1}{2}x+\frac{1}{4}y=6 \ \ \ |\times 2 \\&#10;\frac{1}{5}x+\frac{1}{3}y=1 \ \ \ |\times (-5) \\ \\&#10;x+\frac{1}{2}y=12 \\&#10;\underline{-x-\frac{5}{3}y=-5} \\&#10;\frac{1}{2}y-\frac{5}{3}y=12-5 \\&#10;\frac{3}{6}y-\frac{10}{6}y=7 \\&#10;-\frac{7}{6}y=7 \\&#10;y=7 \times (-\frac{6}{7}) \\&#10;y=-6 \\ \\&#10;x+\frac{1}{2}y=12 \\&#10;x+\frac{1}{2} \times (-6)=12 \\&#10;x-3=12 \\&#10;x=12+3 \\&#10;x=15 \\ \\&#10;\boxed{(x,y)=(15,-6)}
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Can I please have some help????
DedPeter [7]

Answer:

avn= -8 + (n-1)(-7)

Step-by-step explanation:

arithmetic sequence formula= avn= av1 + (n-1)d

av1= first number in the sequence

d= common difference

n= the number of the term to find

The common difference is -7 so d=-7 and you plug it into the equation. The first number in the sequence is -8 so av1.

There is no specific n to find so it remains n.

I hope this helps! Let me know if this helps.

8 0
2 years ago
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Alenkasestr [34]

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Step-by-step explanation:

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3 years ago
An elevator is on the twentieth floor. It goes down 11 floors and then up 5 floors. What floor is the elevator now
Llana [10]
To solve problems like this, we must simply break it down and read each part carefully. We can also set it up as a math problem to make it easier to visualize.

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20

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3 years ago
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b. for this one if you look at the equation given to find the principle it is principle = result (1+rate) ^ -time

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3 years ago
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schepotkina [342]

Answer:

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Step-by-step explanation:

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