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Solve the system of equations by using substitution. –2x + 3y = 7 4x – 6y = 8 A. y = –22, x = 29.5 B. y = –22, x = –36.5 C. y = –22, x = –31 D. no solution
–2x + 3y = 7, -2x = 7 - 3y x = (3/2)y - 7/2 Replace x in the equation 4x – 6y = 8, then 4(3/2y - 7/2) - 6y = 8 6y - 14 - 6y = 8, the simplified form is 0 = 22 which is not true. Therefore, the solution for –2x + 3y = 7 4x – 6y = 8 is D. no solution.
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Asked 3/26/2014 5:08:35 PM
Updated 3/26/2014 10:48:56 PM
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–2x + 3y = 7,
-2x = 7 - 3y
x = (3/2)y - 7/2
Replace x in the equation 4x – 6y = 8, then 4(3/2y - 7/2) - 6y = 8
6y - 14 - 6y = 8, the simplified form is 0 = 22 which is not true.
Therefore, the solution for –2x + 3y = 7 4x – 6y = 8 is D. no solution.
Added 3/26/2014 10:48:56 PM
This answer has been confirmed as correct and helpful.
Confirmed by jeifunk [3/26/2014 10:49:56 PM]
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