Question

Solve.
{d+e=2d−e=4

Use the substitution method.

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Responses

a There is no solution.
a There is no solution.

b The solution is (5, 1).
b The solution is left parenthesis 5 comma 1 right parenthesis .

c There are an infinite number of solutions.
cThere are an infinite number of solutions.

d The solution is (3, −1).

Answer 1

Interpreting the system as
d + e = 2
d − e = 4

Use substitution. From the first equation d = 2 − e. Substitute into the second:
(2 − e) − e = 4
2 − 2e = 4
−2e = 2
e = −1

Then d = 2 − (−1) = 3. Solution: (d,e) = (3, −1). (Choice d)