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docker41 [41]
3 years ago
13

Why are the solutions to the proportions 50/x =10/20 and 10/50=20/x the same

Mathematics
2 answers:
storchak [24]3 years ago
7 0

Answer:

because both result in the equation 10x=1000 which simplifies to x=100.

ratelena [41]3 years ago
5 0
With cross multiplication you can find that they are the same. In both equations, x would be 100. 
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What is the solution to the system of equations?
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Call the two equations above A and B, in order to not confuse them.

A: -2x + 6y = -38

B: 3x - 4y = 32

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Now we add the new equations. The -6x and 6x are opposites and go away. We are left with

10y = -50. We divide both sides by 10 and get that y = -5.

Now we take y = -5 and put it into an original equation. Let's use A.

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-2x + (-30) = -38 evaluating and multiplying

-2x - 30 = -38 apply the parentheses

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x = 4 divide on both sides by -2


Thus x = 4 and y = -5, or (4, -5) is the solution.

6 0
3 years ago
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ss7ja [257]

Answer:

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7 0
3 years ago
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