Question 979688

calculate the coordinates of the intersection of the two lines

1. y + 2x = 3
2. y - x = 2
<pre>y + 2x = 3 --------- eq (i)
y -  x = 2 --------- eq (ii)
3x = 1 ------------- Subtracting eq (ii) from eq (i)
{{{x = 1/3}}}

{{{y - 1/3 = 2}}} ----------- Substituting {{{1/3}}} for x in eq (ii)
{{{y = 2 + 1/3}}}
{{{y = 2&1/3}}}
Coordinates: {{{highlight_green(system(x = 1/3,y = 2&1/3))}}}, or ({{{1/3}}}{{{","}}}{{{2&1/3}}})