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Please use distribution and no need to graph.

Please use distribution and no need to graph.-example-1

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11 votes

Answer:

(x, y) = (0, 3)

Explanation:

You want the solution to the system of equations ...

  • x + y = 3
  • y = -3(2x -1)

Substitution

Since we are given an expression for y, it is convenient to use that to substitute for y in the first equation:

x + (-3(2x -1)) = 3

Solution

x + (-6x +3) = 3 . . . . . simplify

-5x +3 = 3 . . . . . . . . combine like terms

-5x = 0 . . . . . . . . . subtract 3

x = 0 . . . . . . . . . divide by -5

0 +y = 3 . . . . . substitute for x to find y

y = 3

The solution to these equations is (x, y) = (0, 3).

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Please use distribution and no need to graph.-example-1
User David Reidy
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