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If -3x + 4y = 28 and 3x - 2y = 8, what is the product of x and y?

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If -3x + 4y = 28 and 3x - 2y = 8, what is the product of x and y?  [#permalink]

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New post 17 Sep 2019, 00:16
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A
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Question Stats:

89% (01:38) correct 11% (02:33) wrong based on 37 sessions

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Re: If -3x + 4y = 28 and 3x - 2y = 8, what is the product of x and y?  [#permalink]

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New post 17 Sep 2019, 01:20
Add the two equations,

-3x+4y+3x-2y=28+8

2y=36
y=18

Substitute y=18 in one of the equations

3x-2(18)=8
3x=44
x=44/3

So, xy=(44/3)*(18)=264

Answer is (A)
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Re: If -3x + 4y = 28 and 3x - 2y = 8, what is the product of x and y?  [#permalink]

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New post 17 Sep 2019, 08:09
Bunuel wrote:
If -3x + 4y = 28 and 3x - 2y = 8, what is the product of x and y?

A. 264.
B. 428.
C. 464.
D. 622.
E. 642.

( -3x + 4y )= 28
+ ( 3x - 2y ) = 8
________________
_______2y = 36

Or, y = 18

Find the value of x from 2nd equation 3x - 2*18 = 8

Or, x = 44/3

So, xy = 44/3*18 => 264, Answer must be (A)
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Re: If -3x + 4y = 28 and 3x - 2y = 8, what is the product of x and y?  [#permalink]

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New post 21 Sep 2019, 12:24
Bunuel wrote:
If -3x + 4y = 28 and 3x - 2y = 8, what is the product of x and y?

A. 264.
B. 428.
C. 464.
D. 622.
E. 642.


Adding the equations together, we have:

2y = 36

y = 18

Using the second equation, we can now solve for x::

3x - 2(18) = 8

3x - 36 = 8

3x = 44

x = 44/3

Thus, the product of x andy is 44/3 * 18 = 44 * 6 = 264.

Answer: A
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Re: If -3x + 4y = 28 and 3x - 2y = 8, what is the product of x and y?   [#permalink] 21 Sep 2019, 12:24
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