Question
If 0.4x + 0.16y = 1.7 and 0.3x + 0.12y = 3.4, then which
of the following is correct?Solution
Given:
1) 0.4x + 0.16y = 1.7
2) 0.3x + 0.12y = 3.4 Multiply (1) by 3:
1.2x + 0.48y = 5.1 Multiply (2) by 4:
1.2x + 0.48y = 13.6 Now subtract the two:
0 = 13.6 - 5.1
0 = 8.5 → Contradiction No solution. The system is inconsistent.
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