6x+5y=7x+3y+1=2(x+6y-1)

1.	6x+5y=7x+3y+1=2(x+6y-1)
Answer» The given equations are{tex}6x + 5y = 7x + 3y + 1 = 2(x + 6y -1){/tex}Therefore,we have{tex}6x + 5y = 2(x + 6y -1){/tex}{tex}6x + 5y = 2x + 12y - 2{/tex}{tex}6x - 2x + 5y -12y = -2{/tex}{tex}4x - 7y = -2 {/tex}......(i)Also,\xa0{tex}7x + 3y + 1 = 2(x + 6y - 1){/tex}{tex}7x + 3y + 1= 2x + 12y -2{/tex}{tex}7x - 2x + 3y -12y = -2 -1{/tex}{tex}5x - 9y = -3 {/tex}.........(ii)Multiplying (i) by 9\xa0and (ii) by 7, we get{tex}36x -\xa063y = -18{/tex} ......(iii){tex}35x -\xa063y = -21{/tex} .....(iv)Subtracting (iii) and (iv),we get{tex}x = 3{/tex}Substituting x = 3\xa0in (i),we get{tex}\\Rightarrow4 \\times 3 - 7 y = - 2\\\\ \\Rightarrow - 7 y = - 2 - 12{/tex}{tex}\\Rightarrow-7y = -14{/tex}{tex}\\Rightarrow{/tex}y = 2{tex}\\therefore{/tex}\xa0Solution is x = 3, y = 2

Discussion