Question 936985
{{{ a - 3b = 9b - 7a }}}
Add {{{ 7a }}} to both sides
{{{ 8a - 3b = 9b }}}
Add {{{ 3b }}} to both sides
{{{ 8a = 12b }}}
Divide both sides by {{{ b }}}
{{{ 8*( a/b ) = 12 }}}
Divide both sides by {{{ 8 }}}
{{{ a/b = 12/8 }}}
{{{ a/b = 3/2 }}}
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check:
{{{ a = (3/2)*b }}}
{{{ a - 3b = 9b - 7a }}}
{{{ (3/2)*b - 3b = 9b - 7*(3/2)*b }}}
Divide both sides by {{{ 3b }}}
{{{ 1/2 - 1 = 3 - 7/2 }}}
Multiply both sides by {{{ 2 }}}
{{{ 1 - 2 = 6 - 7 }}}
{{{ -1 = -1 }}}
OK