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Salsk061 [2.6K]
2 years ago
14

Pleaseeeee helppppp

Mathematics
1 answer:
IRINA_888 [86]2 years ago
3 0

Answer:

  (a)  (6, 2)

Step-by-step explanation:

The system of equations has one of them in y= form, so it lends itself to solution by substitution.

__

Using the equation for y to substitute into the first equation, we have ...

  2x -y = 10

  2x -(-1/2x +5) = 10 . . . . . substitute for y

  2x +1/2x -5 = 10 . . . . . eliminate parentheses

  5/2x = 15 . . . . . . . . . add 5, collect terms

  x = 6 . . . . . . . . . . . multiply by 2/5

Using the equation for y, we have ...

  y = -1/2(6) +5 = -3 +5

  y = 2

The solution is (x, y) = (6, 2).

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