Reduce the system of linear equations to upper triangular form and solve. begin{cases}5x-3y=22x+7y=3end{cases}

jernplate8 2021-02-22 Answered

Reduce the system of linear equations to upper triangular form and solve.

{\begin{cases} 5 x - 3 y = 2 \\ 2 x + 7 y = 3 \end{cases}

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Bella

Answered 2021-02-23 Author has 81 answers

System becomes

5 x - 3 y = 2

\frac{6}{5} y + 7 y = - \frac{4}{5} + 3

\frac{41}{5} y = \frac{11}{5}

y = \frac{11}{5} \cdot \frac{5}{41} = \frac{11}{41}

5 x - 3 \cdot \frac{11}{41} = 2

5 x - \frac{33}{41} = 2

5 x = 2 + \frac{33}{41} = \frac{115}{41}

x = \frac{23}{41}

Result:

(x, y) = (\frac{23}{41}, \frac{11}{41})

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