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solving equations. find value of m
2m - 1/2 = m/7 + m/2

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Solving Equations Find Value Of M 2m 12 M7 M2 Here Is A Picture Of The Previous Question class=

Sagot :

[tex]2m-\frac { 1 }{ 2 } =\frac { m }{ 7 } +\frac { m }{ 2 } \\ \\ \frac { 1 }{ m } \left( 2m-\frac { 1 }{ 2 } \right) =\frac { 1 }{ m } \left( \frac { m }{ 7 } +\frac { m }{ 2 } \right)[/tex]

[tex]\\ \\ \frac { 2m }{ m } -\frac { 1 }{ 2m } =\frac { m }{ 7m } +\frac { m }{ 2m } \\ \\ 2-\frac { 1 }{ 2m } =\frac { 1 }{ 7 } +\frac { 1 }{ 2 } \\ \\ 2-\frac { 1 }{ 7 } -\frac { 1 }{ 2 } =\frac { 1 }{ 2m }[/tex]

[tex]\\ \\ \frac { 28 }{ 14 } -\frac { 2 }{ 14 } -\frac { 7 }{ 14 } =\frac { 1 }{ 2m } \\ \\ \frac { 19 }{ 14 } =\frac { 1 }{ 2m } \\ \\ { \left( 2m \right) }^{ -1 }={ \left( \frac { 14 }{ 19 } \right) }^{ -1 }[/tex]

[tex]\\ \\ 2m=\frac { 14 }{ 19 } \\ \\ \frac { 1 }{ 2 } \cdot 2m=\frac { 14 }{ 19 } \cdot \frac { 1 }{ 2 } \\ \\ m=\frac { 14 }{ 38 } =\frac { 7 }{ 19 } [/tex]
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