Answer:
A. Yes
B. No
C. No
D. The graph of the equations is attached
x = 2
Step-by-step explanation:
A. Yes, she will get the same solution
Given the solution is based on the two solutions, the solution will be the same for all algebraic methods used
B. No, the answer in A does not change
A system of two equations in two unknowns with no solution is an inconsistent system of equations and there should be no solutions for all correct algebraic methods used
C. No, the answer in A does not change
If there are infinitely many solutions, there will be infinitely many solutions for all correct algebraic methods used
D. The graph of the equations;
y = 2·x + 4...(1) and y = 3·x + 2.....(2) is attached
Subtracting equation (1) from equation (2), we have;
3·x + 2 - (2·x + 4) = y - y = 0
x - 2 = 0
∴ x = 2
The graphs of the two equations also intersect at x = 2.