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3 years ago

The sum of two numbers is -17. Their difference is 41. Find the numbers

Mathematics

1 answer:

Alex787 [66]3 years ago

3 0

Answer:

x = 12

y = -29

Step-by-step explanation:

Our given equations: x + y = -17 and x - y = 41

Solve for x and substitute.

x = -17 - y

(-17 - y) - y = 41

-17 - 2y = 41

2y = -58

y = -29

Solve for x using y

x + (-29) = -17

x = 12

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Answer:

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Step-by-step explanation:

Let

x ----> the number of quarter coins Karen has

y ----> the number of dimes coins Karen has

Remember that

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we know that

Equation that represent the amount of coins Karen has

$x+y=8$

isolate the variable y

$y=8-x$ ----> equation A

Equation that represent the value of coins Karen has

$0.25x+0.10y=1.70$ ----> equation B

Solve the system of equations by substitution

substitute equation A in equation B

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solve for x

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$0.25x-0.10x=1.70-0.80$

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Find the value of y

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therefore

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IrinaVladis [17]

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Remainder 1.

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