Question 258015
Solve by elimination:
{{{x+y = 7}}}
{{{2x-y = 2}}} Add these two equations to "eliminate" the y.
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{{{3x = 9}}} Divide both sides by 3.
{{{x = 3}}} Substitute this into either one of the given equations to find the value of y.
{{{x+y = 7}}} Substitute x=3
{{{3+y = 7}}} Subtract 3 from both sides.
{{{y = 4}}}
The solution is: (3, 4)
You could check this by graphing both of the given equations. The point of intersection point is the solution.
{{{graph(400,400,-5,5,-5,5,-x+7,2x-2)}}}