Question

Solve using linear combination.

d – 2e = – 2

3d + 2e = 26



Which ordered pair, (d, e), is the solution to the system of equations?




Question 5 options:



(4, 6)



(2, 10)



(8, 5)



(6, 4)

Answer 1

(d,e) is (6,4)

Explanation:

d – 2e = – 2

3d + 2e = 26

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Rewrite the first equation to isolate d on the left:

d = – 2 + 2e

Now use this definition of d in the second equation:

3d + 2e = 26

3(– 2 + 2e) + 2e = 26

-6 + 6e + 2e = 26

8e = 32

e = 4

Now use e = 4 in either equation to find d:

d – 2e = – 2

d – 2(4) = – 2

d = 6

(d,e) is (6,4)