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

2021-03-12

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

### Relevant Questions

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Is (3,8) a solution to this system of equations?
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$$y=x+1$$
-True
-False