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| 1. |
Solve 3x-5y=4 |
| Answer» Here given equations are2x - y = 5 ..........(i)3x - 5y = 4 ..............(ii)Multiplying equation (i) by 3, we get3 {tex}\\times{/tex}\xa0(2x - y = 5){tex}\\Rightarrow{/tex}\xa06x - 3y = 15 ...........(iii)Multiplying equation (ii) by 2 , we get2 {tex}\\times{/tex}\xa0(3x\xa0- 5y = 4){tex}\\Rightarrow{/tex}\xa06x - 10y = 8 ............(iv)Subtracting equation (iv) from (iii), we get{tex}\\Rightarrow{/tex}\xa0y = 1Put y = 1, equation (i) becomes2x - 1 = 5{tex}\\Rightarrow{/tex}\xa02x = 6{tex}\\Rightarrow{/tex}\xa0x = 3{tex}\\therefore{/tex}\xa0x = 3, y = 1 is the solution of given system of equations. | |