Using graphical method, solve the following system of equations

Q) Using graphical method, solve the following system of equations : 3 x – 2 y = 10 and 5 x + 3 y = 4

Ans:

Ans: (i) Solution of the equations:

Step 1: Let’s find the points on both lines and plot on the graph paper:

a) 3 x – 2 y = 10

$\begin{tabular}{ |c|c|c|c| } \hline 0 & 2 & 4 & 6 \\ \hline - 5 & - 2 & 1 & 4 \\ \hline \end{tabular}$

(b) 5 x + 3 y = 4

$\begin{tabular}{ |c|c|c|c| } \hline - 1 & 0 & 2 & 5 \\ \hline 3 & 4/3 & - 2 & - 7 \\ \hline \end{tabular}$

Step 2: Now let’s plot both of these lines connecting each of the points:

From the diagram, we can see that the lines intersect each other at point (2,- 2)

Therefore, the solution of the lines is (2,-2).

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