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Substitution Method(i)3x+2y=11 equation (i) 2x+3y=4 equation (ii) |
| Answer» {tex}3x+2y=11{/tex}........(i){tex}2x+3y=4{/tex}.......(ii)Multiplying (i) by 3 and (ii) by 2, we get{tex}9x+6y=33{/tex}........(iii){tex}4x+6y=8{/tex}........(iv)Subtracting (iv) from (iii), we ge{tex}5x=25\\Rightarrow x=5{/tex}Substituing x = 5 equation in (i), we get{tex}3(5)+2y=11\\Rightarrow15+2y=11\\Rightarrow 2y=-4 \\Rightarrow y=-2{/tex}\xa0Hence, the solution of the given system of equations is x = 5, y = -2 | |