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Allisa [31]
3 years ago
14

2x - 1y = 6 -3y = -6x + 18 please explain how you got the answer, thank you :)

Mathematics
1 answer:
IRISSAK [1]3 years ago
8 0

Answer: {y,x}={2,8}

// Solve equation [2] for the variable  y

 [2]    y = -2x + 18

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

  [1]    (-2x+18) - x = -6

  [1]     - 3x = -24

// Solve equation [1] for the variable  x

  [1]    3x = 24

  [1]    x = 8

// By now we know this much :

   y = -2x+18

   x = 8

// Use the  x  value to solve for  y

   y = -2(8)+18 = 2

Solution :

{y,x} = {2,8}

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Explanation:

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2

x

+

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2

y

=

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y

this gives

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x

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y

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−

2

y

2

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=

27

−

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putting this value into the second equation gives.

(

27

−

y

)

×

y

=

176

multiplying across the parenthesis gives

27

y

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y

2

=

176

subtracting 176 from both sides gives

is

27

y

−

y

2

−

176

=

0

multiplying by negative one gives

−

27

y

+

y

2

+

176

=

0

factoring this into y gives

(

y

−

11

)

×

(

y

−

16

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=

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Solving for both y's gives

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2 years ago
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Kitty [74]
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