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Show graphically that 2x+3y=6 and 4x+6y=12 has infinitely many solutions |
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Answer» {tex}2x + 3y = 6{/tex}{tex}\\Rightarrow y = \\frac { 6 - 2 x } { 3 }{/tex}\tx{tex}-3{/tex}{tex}3{/tex}y{tex}4{/tex}{tex}0{/tex}\t{tex}4x + 6y = 12{/tex}{tex}\\Rightarrow y = \\frac { 12 - 4 x } { 6 }{/tex}\tx-60y62\tThe graph of the system of equations are\xa0coincident lines.{tex}\\therefore{/tex}\xa0The system has infinitely many solutions. 2x + 3y = 6\tx03y20\t\xa04x + 6y = 12\tx03y20\t |
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