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If x – y = 4 and 2x + y = 5, what is the value of x?

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sandy
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If x – y = 4 and 2x + y = 5, what is the value of x? [#permalink] New post   23 Jun 2018, 11:46
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If \(x - y = 4\) and \(2x + y = 5\), what is the value of x?

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Re: If x – y = 4 and 2x + y = 5, what is the value of x? [#permalink] New post   01 Jul 2018, 21:43
sandy wrote:
If \(x - y = 4\) and \(2x + y = 5\), what is the value of x?

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Here,

simply add the two equation i. e

\(2x + y = 5\)

\(x - y = 4\)
(+)_____________________

\(3x = 9\)

or \(x = 3\)
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Re: If x – y = 4 and 2x + y = 5, what is the value of x? [#permalink] New post   16 Jul 2018, 07:01
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Explanation

Notice that the first equation has the term –y while the second equation has the term +y.

While it is possible to use the substitution method, summing the equations together will make –y and y cancel, so this is the easiest way to solve for x.

x – y = 4

2x + y = 5

Adding the equations above

3x = 9
x = 3
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If x y = 4 and 2x + y = 5, what is the value of x? [#permalink] New post   18 Jun 2023, 22:24
If \(x - y = 4\) and \(2x + y = 5\), what is the value of x?

We see +y in one equation and -y in the other, and thus adding these together is the quickest and easiest method of obtaining the answer.

\(x-y=4\)
\(2x+y=5\)
________
\(3x = 9\)
________

\(3x = 9\)

\(x= 3\)
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If x y = 4 and 2x + y = 5, what is the value of x? [#permalink]
18 Jun 2023, 22:24
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