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X-y=11 2x+y=19 use the elimination method to solve

User Aslingga
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2 Answers

2 votes
x – y = 11
2x + y = 19
—————— +
3x = 30
x = 10
User Crooksey
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8.6k points
2 votes
The two equations that have been given in the question are:
x - y = 11
2x + y =19
Now we will take the first equation.
x - y = 11
x = 11 + y
Now replacing the value of x in the second equation we get
2x + y = 19
2(11 + y) = 19
22 + 2y = 19
2y = 19 - 22
2y = -3
y = - 3/2
Now putting the value of y in the first equation we get
x - y = 11
x - (-3/2) = 11
2x + 3 = 11 * 2
2x + 3 = 22
2x = 22 -3
2x = 19
x = 19/2
So the value of x is 19/2 and the value of y is -3/2.

User Dmitry Perets
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7.4k points

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