Solve the following system of linear equations by sketching a graph  x+y=6              x-y=0

Expert Answers

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First solve the equation for y.

X + y = 6 y = -x + 6

Your y-intercept is 6 (where it crosses the y axis), with a slope of -1 (down 1 over 1). Draw a line that passes through point (0,6) and (6,0).

Repeat the process for the next equation.

X – Y = 0 - Y = - X Y = X

Your y-intercept is 0 (where it crosses the y axis), with a slope of 1 (up 1 over 1). Draw a line that passes through point (0,0) and (6,6).

The point of intersection is (3, 3). {The place where the two lines meet.}

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