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Lisa [10]
3 years ago
15

Double w then divide v by the result

Mathematics
1 answer:
juin [17]3 years ago
6 0

\text{Double w (2w) then divide v by the result}\\\\\boxed{\dfrac{v}{2w}}

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One number is 2 more than 3 times another. Their sum is 22. Find the numbers.
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Make a system of equations.

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\sf~x+y=22

Re-arrange the 2nd equation:

\sf~x+y=22

Subtract y to both sides:

\sf~x=-y+22

Plug in -y + 22 for 'x' in the first equation.

\sf~x=3y+2

\sf~-y+22=3y+2

Subtract 3y to both sides:

\sf~-4y+22=2

Subtract 22 to both sides:

\sf~-4y=-20

Divide -4 to both sides:

\sf~y=\boxed{\sf5}

Plug this into any of the two equations to find 'x':

\sf~x+y=22

\sf~x+5=22

Subtract 5 to both sides:

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Answer:

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