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The system of linear equation of the line are y=2x-5 when (2,-1) is a solution of the first equation but not for the second equation.
Given that,
We have to find the system of linear equation in which (2,-1) is a solution of the first equation but not for the second equation and (5,5) is a solution for system of equation.
We know that,
To find the system of equation we have a formula that is
y=mx-mx₁+y₂
Here m is slope
m=-1-5/2-5
m=-6/-3
m=2
The equation is
y=2x-2(5)+5
y=2x-10+5
y=2x-5
Therefore, The system of linear equation of the line are y=2x-5 when (2,-1) is a solution of the first equation but not for the second equation.
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