Question

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

Answer 1

x = 2, y = - 1

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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