Determine if (1,3) is a solution to the given system of linear equations. 5x+y=8 x+2y=5

Determine if (1,3) is a solution to the given system of linear equations. 5x+y=8 x+2y=5

Question
Forms of linear equations
asked 2021-03-11
Determine if (1,3) is a solution to the given system of linear equations.
\(\displaystyle{5}{x}+{y}={8}\)
\(\displaystyle{x}+{2}{y}={5}\)

Answers (1)

2021-03-12

Given System:
\(\displaystyle{5}{x}+{y}={8}---{\left({1}\right)}\)
\(\displaystyle{x}+{2}{y}={5}---{\left({2}\right)}\)
\(\text{Wecheck}(1, 3)\text{is a solution f system or}\neg\)
\(\text{No wat}(1,3)\)
\(\displaystyle{5}{x}+{y}={5}\cdot{1}+{3}={8}\)
\(\displaystyle{\quad\text{and}\quad}\)
\(\displaystyle{x}={2}{y}={1}+{2}\cdot{3}={1}+{6}={7}\ne{q}{5}\)
\(\text{There f or}\ e(1,3)\ \text{is}\ \neg\ \text{sati y}\ x+2y=5\)
\(\text{Hence}(1,3)\ \text{is}\ \neg\ \text{absolution f}\)
\(\displaystyle{5}{x}+{y}={8}\)
\(\displaystyle{x}+{2}{y}={5}\)

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