Question 1147352
{{{ ax - 5y = b }}}
{{{ -4x + 2y = 3 }}}
The lines are parallel, so both have the same slope
{{{ 2y = 4x + 3 }}}
{{{ y = 2x + 3/2 }}}
This is in the form {{{ y = m*x + b }}} where {{{ m }}} is the slope, so
{{{ m = 2 }}}
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{{{ ax - 5y = b }}}
{{{ 5y = ax - b }}}
{{{ y = ( a/5 )*x - b/5 }}}
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{{{ a/5 = 2 }}}
{{{ a = 10 }}}
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{{{ b }}} can be any value, since {{{ -b/5 }}} is the y-intercept
and has no effect on the slope
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Here's the plots for {{{ a=10 }}} and {{{ b=10 }}}
{{{ graph( 400, 400, -10, 10, -10, 10, 2x - 2, 2x + 3/2 ) }}}