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  • 20-01-2017
  • Mathematics
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How many solutions does the system of equations have

How many solutions does the system of equations have class=

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geerky42
geerky42 geerky42
  • 10-09-2017
2x - 9y = -5
4x - 6y = 2

multiple first equation by 2:

4x - 18y = -10
4x - 6y = 2

Subtract 2 from 1:

-12y = -12
y = 1

Now plug y=1 into any equation. I go with second:

4x - 6(1) = 2

4x - 6 = 2
4x = 8
x = 2

So the solution is (2,1) therefore there is one solution.
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