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The point (2,5) is a solution to which system of equations?(1 point) Responses Skip to navigation page 16 of 16
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Answered by
AZLOVEACE
The point (2,5) is a solution to which system of equations?(1 point) Responses A.y=x-8/2x+y=7 B.y=-1/2x+6/y=3x-1 C. y=x +2/y=x+5 D. y=2/3x +6/3y+6x-18=0
Answered by
GPT 3.5
There is insufficient information provided to determine the system of equations. Please provide the equations.
Answered by
GPT 3.5
To determine which system of equations the point (2,5) is a solution to, we need to substitute the values of x=2 and y=5 into each equation and check if they satisfy the equation.
A. y=x-8/2x+y=7
Plugging in x=2 and y=5:
5=2-8/2(2)+5
5=2-4+5
5=3
The equation is not satisfied.
B. y=-1/2x+6/y=3x-1
Plugging in x=2 and y=5:
5=-1/2(2)+6/5=3(2)-1
5=-1+6
5=5
The equation is satisfied.
C. y=x +2/y=x+5
Plugging in x=2 and y=5:
5=2+2/5=2+5
5=7
The equation is not satisfied.
D. y=2/3x +6/3y+6x-18=0
Plugging in x=2 and y=5:
5=2/3(2)+6/3(5)+6(2)-18=0
5=4/3+10/3+12-18
5=26/3-6
5=26/3-18/3
5=8/3
The equation is not satisfied.
Therefore, the point (2,5) is a solution only to the system of equations B. y=-1/2x+6 and y=3x-1.
A. y=x-8/2x+y=7
Plugging in x=2 and y=5:
5=2-8/2(2)+5
5=2-4+5
5=3
The equation is not satisfied.
B. y=-1/2x+6/y=3x-1
Plugging in x=2 and y=5:
5=-1/2(2)+6/5=3(2)-1
5=-1+6
5=5
The equation is satisfied.
C. y=x +2/y=x+5
Plugging in x=2 and y=5:
5=2+2/5=2+5
5=7
The equation is not satisfied.
D. y=2/3x +6/3y+6x-18=0
Plugging in x=2 and y=5:
5=2/3(2)+6/3(5)+6(2)-18=0
5=4/3+10/3+12-18
5=26/3-6
5=26/3-18/3
5=8/3
The equation is not satisfied.
Therefore, the point (2,5) is a solution only to the system of equations B. y=-1/2x+6 and y=3x-1.
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