The equation are inslope-intercept form y = mx + b.
\Make a table to find the solution that satisfies both equations.
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x \ | \
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y1 = 3x – 8 \ | \
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y1 \ | \
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y2 = x – 8 \ | \
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y2 \ | \
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(x1, y1) \ | \
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(x2, y2) \ | \
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–1 \ | \
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y1 = 3(–1) – 8 \ | \
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– 11 \ | \
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y2 = – 1– 8 \ | \
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– 9 \ | \
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(–1, –11) \ | \
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(–1, – 9) \ | \
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0 \ | \
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y1 = 3(0) – 8 \ | \
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– 8 \ | \
y2 = 0 – 8 | \ \
– 8 \ | \
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(0, – 8) \ | \
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(0, – 8) \ | \
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1 \ | \
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y1 = 3(1) – 8 \ | \
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– 5 \ | \
y2 = 1– 8 | \ \
– 7 \ | \
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(1, – 5) \ | \
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(1, – 7) \ | \
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2 \ | \
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y1 = 3(2) – 8 \ | \
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– 2 \ | \
y2 = 2 – 8 | \ \
– 6 \ | \
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(2, – 2) \ | \
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(2, – 6) \ | \
Since the ordered pair (0,– 8) satisfying the both equations,the solution of the sysytem is (0,– 8).
The solution of the system is (0,– 8).