Question 106862
{{{y=-x+7}}} Start with the given equation



Let's test the first solution (3,4):



{{{(4)=-(3)+7}}} Plug in {{{x=3}}} and  {{{y=4}}}



{{{4=4}}} Simplify. Since the two sides of the equation are equal, this means (3,4) is a solution to {{{y=-x+7}}}




Now let's graph the equation {{{y=-x+7}}} and plot the point (3,4)

{{{drawing(900,900,-10,10,-10,10,
graph(900,900,-10,10,-10,10,-x+7),

circle(3,4,0.08),
circle(3,4,0.10),
green(circle(3,4,0.05)),
green(circle(3,4,0.08)))}}}

Here we can see that the point (3,4) lies on the line. So this shows that (3,4) is a solution to {{{y=-x+7}}} which verifies our answer.