Question

Solve.

{2d+e=8d−e=4

Use the linear combination method.

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Responses

a There are infinitely many solutions.
a There are infinitely many solutions.

b There is no solution.
b There is no solution.

c The solution is (4, 0).
c The solution is Begin ordered pair 4 comma 0 end ordered pair. .

d The solution is (5, −2).

Answer 1

Interpret the system as
2d + e = 8
d − e = 4

Add the two equations to eliminate e:
(2d+e) + (d−e) = 8 + 4
3d = 12
d = 4

Use d in d − e = 4:
4 − e = 4 => e = 0

Solution: (d,e) = (4, 0). (Choice c.)