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Solve for x and y 141x+93y=189 93x+141y=45

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x = 2, y = - 1

=========================

Given system:

  • 141x + 93y = 189
  • 93x + 141y = 45

Step 1

Add up the two equations:

  • 141x + 93x + 141y + 93y = 189 + 45
  • 234x + 234y = 234
  • x + y = 1

Step 2

Subtract the two equations:

  • 141x - 93x - 141y + 93x = 189 - 45
  • 48x - 48y = 144
  • x - y = 3

Step 3

Add up the two simplified equations:

  • x + y + x - y = 1 + 3
  • 2x = 4
  • x = 2

Step 4

Find y by substitution:

  • 2 + y = 1
  • y = 1 - 2
  • y = - 1
User Demented Hedgehog
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