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Show graphically the system of linear equationsx + 2y = 3and 4x + 3y = 2.

Answer»

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SOLUTION :For equation, x + 2y = 3
implies2y = 3 - ximplies `y = (3-x)/(2)`
`{:(x,-3,-1,1),(y = (3-x)/(2),3,2,1):}`
For equation, 4x + 3y = 2
`implies ""3y = 2 - 4x ""implies"" y =(2-4x)/(3)`
`{:(x,-4,-1,2),(y = (2-4x)/(3),6,2,-2):}`
Now PLOT the points A(-3, 3), B(-1, 2), C(1, 1) and P(-4, 6), Q(-1, 2), R(2, -2) on the same graph paper.

We observe that the two lines INTERSECT at POINT (-1, 2). Hence,`{:(x = - 1),(y = 2):}}` is the solution of the given system of equation.


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