Question

41x - 17y= 99; 17x - 41y = 75 by elimination method​

Answer 1

Answer:

Adding and subtracting the 2 equations.

Subtracting:

41x - 17y = 99

17x - 41y = 75

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24x + 14y = 24

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Therefore x + y =1

Adding:

41x - 17y = 99

17x - 41y = 75

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58x - 58y = 174

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Therefore x - y = 3

Now simplifying the 2 equations x + y =1 and x - y = 3 we get

Y = -1; x = 2

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Answer 2

Answer:

// Solve equation [2] for the variable x

[2] 17x = 41y + 75

[2] x = 41y/17 + 75/17

// Plug this in for variable x in equation [1]

[1] 41•(41y/17+75/17) - 17y = 99

[1] 1392y/17 = -1392/17

[1] 1392y = -1392

// Solve equation [1] for the variable y

[1] 1392y = - 1392

[1] y = - 1

// By now we know this much :

x = 41y/17+75/17

y = -1

// Use the y value to solve for x

x = (41/17)(-1)+75/17 = 2