For the given system of equations, identify the type of system, a system of equations with the same solution, and the estimated solution of thesystems. Select one response for each column of the table....Type of SystemSystem with the Same SolutionEstimatedSolutioninconsistent-31x - 19y=95-14x + 19 y = 76(3.8, -1.2)(-3.8, -1.2)consistent-dependent31x - 19y=9514x + 19 = 76consistent-independent(-3.8, 1.2)31x + 19 = 9514x - 19y = 76
Accepted Solution
A:
Answer:Part 1) -31x - 19y=95-14x + 19 y = 76The solution is the point (-3.8,1.2)The system is consistent independentPart 2) 31x - 19y=9514x + 19y = 76The solution is the point (3.8,1.2)The system is consistent independentPart 3) 31x + 19y = 9514x - 19y = 76The solution is the point (3.8,-1.2)The system is consistent independentStep-by-step explanation:Part 1) we have-31x-19y=95 -----> equation A-14x+19y=76 ---> equation BSolve the system of equations by eliminationAdds equation A and equation B-31x-14x=95+76-45x=171x=-3.8Find the value of y-14(-3.8)+19y=7619y=76-53.2y=22.8/19=1.2The solution is the point (-3.8,1.2)The system has only one solutionthereforeThe system is consistent independentPart 2) we have31x-19y=95 -----> equation A14x+19y=76 ---> equation BSolve the system of equations by eliminationAdds equation A and equation B31x+14x=95+7645x=171x=3.8Find the value of y14(3.8)+19y=7619y=76-53.2y=22.8/19=1.2 The solution is the point (3.8,1.2)The system has only one solutionthereforeThe system is consistent independentPart 3) we have31x+19y=95 -----> equation A14x-19y=76 ---> equation BSolve the system of equations by eliminationAdds equation A and equation B31x+14x=95+7645x=171x=3.8Find the value of y14(3.8)-19y=76-19y=76-53.2y=-22.8/19=-1.2The solution is the point (3.8,-1.2)The system has only one solutionthereforeThe system is consistent independent