Use Gauss-Jordan Row Reduction to Solve the Given Systems of Equation

Use Gauss-Jordan row reduction to solve the given systems of equation. $$\begin{aligned}0.5 x + 0.1 y & = 0.94 \\0.1 x - 0.1 y & = 0.14 \\x + y & = \frac { 11 } { 5 }\end{aligned}$$

A) $\left( \frac { 9 } { 5 } , \frac { 2 } { 5 } \right)$
B) $\left( \frac { 18 } { 5 } , \frac { 8 } { 5 } \right)$
C) $\left( \frac { 18 } { 5 } , \frac { 2 } { 5 } \right)$
D) inconsistent
E) dependent

Correct Answer:

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