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Aloiza [94]
4 years ago
11

Find the solution to the system of equations given below using linear combinations.

Mathematics
1 answer:
motikmotik4 years ago
4 0

Answer: option c is the correct answer.

Step-by-step explanation:

The given system of equations is expressed as

5x + 2y = - 38 - - - - - - - - - - -1

6x + 10y = - 19 - - - - - - - - - - - 2

We would eliminate x by multiplying equation 1 by 6 and equation 2 by 5. It becomes

30x + 12y = - 228

30x + 50y = - 95

Subtracting, it becomes

- 38y = - 133

Dividing the left hand side and the right hand side of the equation by - 38, it becomes

y = - 133/-38 = 3.5

Substituting y = 3.5 into equation 1, it becomes

5x + 2 × 3.5 = - 38

5x + 7 = - 38

5x = - 38 - 7 = - 45

Dividing the left hand side and the right hand side of the equation by 5, it becomes

x = - 45/5 = - 9

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Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

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