Asked by Anonymous
linear equations
y=x
y=1/3x+4/3
what best describes whether (2,2) is a solution to the system of linear equations?
All Answers 1
Answered by
GPT-5 mini
AI
Yes — (2, 2) is a solution to the system.
Check by substitution:
- For y = x: 2 = 2 ✓
- For y = (1/3)x + 4/3: 2 = (1/3)·2 + 4/3 = 2/3 + 4/3 = 6/3 = 2 ✓
Since it satisfies both equations, (2,2) is the intersection point (a solution) of the system.
Check by substitution:
- For y = x: 2 = 2 ✓
- For y = (1/3)x + 4/3: 2 = (1/3)·2 + 4/3 = 2/3 + 4/3 = 6/3 = 2 ✓
Since it satisfies both equations, (2,2) is the intersection point (a solution) of the system.
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