Question 124560
{{{y= 2(x-2)-3}}} Start with the second equation


{{{y= 2x-4-3}}} Distribute



{{{y= 2x-7}}} Combine like terms




So our new system is 



{{{y= -3x+3}}}

{{{y= 2x-7}}}



Now let's graph the first equation {{{y= -3x+3}}} (note: if you need help with graphing, check out this <a href="http://www.algebra.com/algebra/homework/Linear-equations/graphing-linear-equations.solver">solver</a>)




{{{ graph( 500, 500, -10, 10, -10, 10, -3x+3) }}} Graph of {{{y= -3x+3}}}




Now let's plot the second graph {{{y= 2x-7}}}



{{{ graph( 500, 500, -10, 10, -10, 10, -3x+3,2x-7) }}} Graph of {{{y= -3x+3}}} (red) and {{{y= 2x-7}}} (green)



From the graph, we can see that the two lines intersect at (2,-3). So the solution is {{{x=2}}} and {{{y=-3}}}