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Show graphically the system of linear equationsx + 2y = 3and 4x + 3y = 2. |
Answer» <P> SOLUTION :For equation, x + 2y = 3implies2y = 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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