Question 557217
(1) {{{ 4x - 10y = -5 }}}
(2) {{{ 2x - 5y = 0 }}}
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They are straight lines, so they must either:
(1) intersect at 1 point ( different slopes )
(2) Not intersect ( same slope )
(3) They are actually the same line
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If I divide both sides of (1) by {{{2}}},
I get
(1) {{{ 2x - 5y = -(5/2) }}}
(1) {{{ 5y = 2x + (5/2) }}}
(1) {{{ y = (2/5)*x + (1/2) }}}
and
(2) {{{ 2x - 5y = 0 }}}
(2) {{{ 5y = 2x }}}
(2) {{{ y = (2/5)*x }}}
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The lines have the same slope, and they are not
the same line, so they must be parallel.
Parallel lines have no solution.