Answer:
(x, y) = (1, 1)
Explanation:
A graphing calculator works nicely for solving equations graphically.
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If you want to plot these by hand, it is convenient to write them in slope-intercept form:
y = -2x +3 . . . . . subtract 2x from both sides of the first equation
y = x . . . . . . . . . add y to both sides of the second equation
These tell you the first line goes through (0, 3) with a slope of -2. The second line goes through the origin with a slope of +1.
The solution is ...
(x, y) = (1, 1)
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Additional comment
Slope-intercept form is not the only convenient form for graphing the equation of a line. The first equation, for example, is given in standard form, which makes it easy to see the x-intercept is 3/2, and the y-intercept is 3. Sometimes plotting points with a fractional coordinate can be problematical, so we choose to put that equation into a different form.
The second equation quite clearly tells us y=x, so we know that line goes through points that have the same x- and y-coordinates.