Project ForgeEngineering Mathematics
Linear Algebra
GATE 2016
Medium
Solve: 4x4+13x5=46; 2x1+5x2+5x3+2x4+10x5=161; 2x3+5x4+3x5=61; 4x4+5x5=30; 2x1+3x2+2x3+x4+5x5=81. The value of x3, rounded to nearest integer, is
15
Explanation
From eq1 & eq4: 8x5=16 ⟹ x5=2, then 4x4=20 ⟹ x4=5. From eq3: 2x3+25+6=61 ⟹ x3=15.
Source: GATE CH 2016 (2016)
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