Solve graphically the system of equations: `x+y=3` `3x-2y=4`

Explanation

As , We draw graphs of the equations x+y=3 and 3 x-2 y=4. Then locate their point of intersection.


Rememeber , that it is enough to know two points to draw a straight line. Consider x+y=3. Taking x=0, we get y=3. Taking y=0, we get x=3. Thus (0,3) and (3,0) are on the straight line x+y=3.


Take a graph paper. Fix your coordinate system x.
`rightarrow `y axis on the graph paper.

Locate A=(3,0) and B=(0,3) with respect to this coordinate system.

Join A and B and extend it to a straight line.

Consider the equation 3 x-2 y=4. If we take x=0, we obtain y=-2. Similarly, x=4 gives y=4. Thus C=(0,-2) and D=(4,4) are points on the straight line

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