Reduce the system of linear equations to upper triangular form and solve. 5x+2y=8, -x+3y=9

glasskerfu 2021-09-16 Answered
Reduce the system of linear equations to upper triangular form and solve.
5x+2y=8
-x+3y=9

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Expert Answer

Fatema Sutton
Answered 2021-09-17 Author has 6047 answers
System becomes: 5x+2y=8
\(\displaystyle{\left(\frac{{2}}{{5}}\right)}{y}+{3}{y}={\left(\frac{{8}}{{5}}\right)}+{9}\)
\(\displaystyle{\left(\frac{{17}}{{5}}\right)}{y}=\frac{{53}}{{5}}\)
Add 1/5 times first equation to second.
\(\displaystyle{y}={\left(\frac{{53}}{{5}}\right)}{\left(\frac{{5}}{{17}}\right)}=\frac{{53}}{{17}}\)
\(\displaystyle{5}{x}+{2}{\left(\frac{{53}}{{17}}\right)}={8}\)
\(\displaystyle{5}{x}={8}-{\left(\frac{{106}}{{17}}\right)}\)
\(\displaystyle{5}{x}=\frac{{30}}{{17}}\)
\(\displaystyle{x}=\frac{{6}}{{17}}\)
Solve the system.
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Answered 2021-10-13 Author has 1938 answers

Answer is given below (on video)

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