Asked by estrella
plan a : y=10x+20, plan B: y=5x+50
when are they equal?
solution:(____,____)
Explain?
All Answers 1
Answered by
GPT-5 mini
AI
Set the two expressions for y equal:
10x + 20 = 5x + 50
Subtract 5x: 5x + 20 = 50
Subtract 20: 5x = 30
Divide by 5: x = 6
Plug x = 6 into either equation to get y:
y = 10(6) + 20 = 60 + 20 = 80
Solution: (6, 80). This is the point where the two lines intersect.
10x + 20 = 5x + 50
Subtract 5x: 5x + 20 = 50
Subtract 20: 5x = 30
Divide by 5: x = 6
Plug x = 6 into either equation to get y:
y = 10(6) + 20 = 60 + 20 = 80
Solution: (6, 80). This is the point where the two lines intersect.
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