solve graphically (y=2x+1,y+3x-6=0)
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Solution:
To solve the equation graphically,put the value of x in equation and find out y,thus find three points for each equation.
Table of coordinates for eq y=2x+1(shown with red line in graph)
![\begin{table}[] \begin{tabular}{|l|l|l|l|} \cline{1-4} x & 0 & -1 & 1 \\ \cline{1-4} y & 1 & -1 & 3 \\ \cline{1-4} \end{tabular} \end{table} \begin{table}[] \begin{tabular}{|l|l|l|l|} \cline{1-4} x & 0 & -1 & 1 \\ \cline{1-4} y & 1 & -1 & 3 \\ \cline{1-4} \end{tabular} \end{table}](https://tex.z-dn.net/?f=%5Cbegin%7Btable%7D%5B%5D+%5Cbegin%7Btabular%7D%7B%7Cl%7Cl%7Cl%7Cl%7C%7D+%5Ccline%7B1-4%7D+x+%26amp%3B+0+%26amp%3B+-1+%26amp%3B+1+%5C%5C+%5Ccline%7B1-4%7D+y+%26amp%3B+1+%26amp%3B+-1+%26amp%3B+3+%5C%5C+%5Ccline%7B1-4%7D+%5Cend%7Btabular%7D+%5Cend%7Btable%7D)
Table of three coordinates of eq y+3x-6=0(shown with orange colour in graph)
![\begin{table}[] \begin{tabular}{|l|l|l|l|} \cline{1-4} x & 2 & 0& 1 \\ \cline{1-4} y & 0 & 6 & 3 \\ \cline{1-4} \end{tabular} \end{table} \begin{table}[] \begin{tabular}{|l|l|l|l|} \cline{1-4} x & 2 & 0& 1 \\ \cline{1-4} y & 0 & 6 & 3 \\ \cline{1-4} \end{tabular} \end{table}](https://tex.z-dn.net/?f=%5Cbegin%7Btable%7D%5B%5D+%5Cbegin%7Btabular%7D%7B%7Cl%7Cl%7Cl%7Cl%7C%7D+%5Ccline%7B1-4%7D+x+%26amp%3B+2+%26amp%3B+0%26amp%3B+1+%5C%5C+%5Ccline%7B1-4%7D+y+%26amp%3B+0+%26amp%3B+6+%26amp%3B+3+%5C%5C+%5Ccline%7B1-4%7D+%5Cend%7Btabular%7D+%5Cend%7Btable%7D)
So,where both lines intersect is the solution of these equations.
x = 1
y = 3
Hope it helps you.
To solve the equation graphically,put the value of x in equation and find out y,thus find three points for each equation.
Table of coordinates for eq y=2x+1(shown with red line in graph)
Table of three coordinates of eq y+3x-6=0(shown with orange colour in graph)
So,where both lines intersect is the solution of these equations.
x = 1
y = 3
Hope it helps you.
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