Question 397052
Hi,

(1) {{{x - 2y = -5}}}
(2) {{{-3x + y = 0}}}
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The most important rule is:
"What ever you do to one side of an equation,
you must do to the other side."
Multiply both sides of (2) by {{{2}}}
then add the equations
(1) {{{x - 2y = -5}}}
(2) {{{-6x + 2y = 0}}} (notice that {{{2*0 = 0}}})
{{{-5x = -5}}}
{{{x = 1}}}
Now substitute this value in (1)
(1) {{{1 -2y = -5}}}
Subtract {{{1}}} from both sides
{{{-2y = -5 - 1}}}
{{{-2y = -6}}}
Divide both sides by {{{-2}}}
{{{y = 3}}}
The solution is (1,3)