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The equation are inslope-intercept form y = mx + b.
Make a table to find the solution that satisfies both equations.
x |
y1 = 2x + 9 |
y1 |
y2 = – x + 3 |
y2 |
(x1, y1) |
(x2, y2) |
– 1 |
y1 = 2(–1) + 9 |
7 |
y2 = (–1) (–1) + 3 |
4 |
(–1, 7) |
(–1, 4) |
0 |
y1 = 2(0) + 9 |
9 |
y2 = (–1) (0) + 3 |
3 |
(0, 9) |
(0, 3) |
1 |
y1 = 2(1) + 9 |
11 |
y2 = (–1) (1) + 3 |
2 |
(1, 11) |
(1, 2) |
– 2 |
y1 = 2(–2) + 9 |
5 |
y2 = (–1) (–2) + 3 |
5 |
(–2, 5) |
(–2, 5) |
Since the ordered pair satisfying the both equations,
the solution of the sysytem is .
The solution of the sysytem is .
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