Question

find the solution of the following pair of liner equation graphically
3x+y= 8 and x +y =6​

Answer 1

$\LARGE{\bf{\underline{\underline{GIVEN:-}}}}$

We are given two equations:

• 3x+y=8.

• x+y=6

$\LARGE{\bf{\underline{\underline{TO \ FIND:-}}}}$

We need to find the solution of the following pair of liner equation graphically.

$\LARGE{\bf{\underline{\underline{SOLUTION:-}}}}$

First, find the possible zeros.

Zeros of 3x+y=8 are as follows:

$\begin{table}\begin{tabular}{llll}x & 1 & 2 & 3 \\y & 5 & 2 & -1 \end{tabular}\end{table}$$\begin{array}{| c | c | c | c |}\cline{1-4} x & 1 & 2 & 3 \\\cline{1-4} y & 5 & 2 & -1\\\cline{1-4}\end{array}$

Zeros of x+y=6 are as follows:

$\begin{array}{| c | c | c | c |}\cline{1-4} x & 3 & 2 & 5 \\\cline{1-4} y & 3 & 4 & 1\\\cline{1-4}\end{array}$

Now, plot these points on the graph.

In the file attached, we can clearly see that they intersect at (1,5). Therefore, the roots are 1 and 5.