$$\underset{\,\,\,\,{\textcolor[rgb]{0.66,0.66,0.66}{\rightarrow {\mathtt{y, x}}}}}{{solve}}{\left(\begin{array}{l}{\mathtt{y}}={\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{3}}\\
{\mathtt{y}}={\mathtt{\,-\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}\\
{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{3}}={\mathtt{\,-\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}\\
{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}={\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}\\
{\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{x}}={\mathtt{5}}\\
{\mathtt{x}}={\mathtt{1}}\end{array}\right)}$$
If y = 2x - 3 and y = -3x + 2 then:
2x - 3 = -3x + 2
Add 3x to both sides:
5x - 3 = 2
Add 3 to both sides
5x = 5
Divide both sides by 5
x = 1
Put this value back into y = 2x - 3 to get
y = 2*1 - 3
or y = -1
.
$$\underset{\,\,\,\,{\textcolor[rgb]{0.66,0.66,0.66}{\rightarrow {\mathtt{y, x}}}}}{{solve}}{\left(\begin{array}{l}{\mathtt{y}}={\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{3}}\\
{\mathtt{y}}={\mathtt{\,-\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}\\
{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{3}}={\mathtt{\,-\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}\\
{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}={\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}\\
{\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{x}}={\mathtt{5}}\\
{\mathtt{x}}={\mathtt{1}}\end{array}\right)}$$