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irina1246 [14]
3 years ago
5

Which values of a and b make this system of equations have infinitely many solutions?

Mathematics
1 answer:
Afina-wow [57]3 years ago
6 0

9514 1404 393

Answer:

  a = 3, b = -8

Step-by-step explanation:

Solving the first equation for y, we get ...

  2y +16 = 6x . . . . . given

  y = 8 +3x . . . . . . . divide by 2

  y = 3x -8 . . . . . . . subtract 8

In order for the system of equations to have infinitely many solutions, the second equation must be the same as this:

  y = ax +b

  a = 3, b = -8

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To solve this, simply substiture 8 in for x, and solve for y.

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Subtract 88 from each side of the equation.

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Lastly divide each side of the equation by -6

y = 89/6 is your answer.

Hope this helps!
5 0
3 years ago
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dolphi86 [110]

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