yasmin340186
yasmin340186 yasmin340186
  • 23-07-2018
  • Mathematics
contestada

Use linear combination method to solve this systemof equations. What is the value of x?
3x+7y=31
-3x-2y=-1

A)-6
B)-3 2/3
C)3 2/3
D)6

Respuesta :

GoddessofDork
GoddessofDork GoddessofDork
  • 23-07-2018

Using the linear combination method, we can add 3x+7y=31 and -3x-2y=-1 together, which makes 5y=30.


Just divide both sides by 5, and your answer will be y = 6.



To solve for x, just substitute 6 in y in either equation and solve for x:


[tex] -3x-2(6)=-1\\ -3x-12=-1\\ -3x=11\\ x=-\frac{11}{3} =-3\frac{2}{3} [/tex]



In short, the correct answer is B. -3 2/3

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