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Solving by Graphing
Solve the system using the graphing method.
Since both equations are already in slope-intercept form, the slope and y-intercept of each line can be read directly.
First equation: has slope and y-intercept .
Second equation: has slope and y-intercept .
Graph both lines on the same coordinate system using their slopes and y-intercepts. The two lines cross at a single point: .
Verify the solution by substituting and into both original equations:
- First equation: . True ✓
- Second equation: . True ✓
Because satisfies both equations, the solution of the system is .
This example illustrates that when both equations in a system are already written in slope-intercept form, the slopes and y-intercepts can be identified immediately — no algebraic rewriting is needed before graphing.
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