Algebra Linear Inequalities Help

8. The system below has the solution of (1,3) where A, B, C, D, E, and F are all nonzero real numbers.
Ax+By=C, Dx+Ey=F
Which of the following systems would not have (1,3) as the solution?
A- Ax+By=C & (2A-D)x+(2B+E)y=C-2F
B- Ax+By=C & 7Dx+7Ey=7F
C- Ax+By=C & (A+D)x+(B+E)y=C+F
D=(A/2+D)x+(B/2+E)y=(C/2+F) & Dx+Ey=F
Two systems of equations are shown below.

System A System B
6x+y=2 2x−3y=−10
−x−y=−3
−x−y=−3

7. Which of the following statements is correct about the two systems of equations?
A- They will have the same solution because the first equation of both the systems have the same graph.
B- They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A.
C- The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.
D- The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than the coefficient of x in the first equation of System A.
System A- 6x+y=2, -x-y=-3
System B- 2x-3y=-10, -x-y=-3

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  1. For 7. The answer is B.
    And for 8. The answer is A

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