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Can you help me solve this please?

Can you help me solve this please?-example-1
User Cun
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1 Answer

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Answer:

HERE

Explanation:

To determine which system has x = 3 and y = 2.5 as its solution, we need to substitute these values into each system of equations and check which one satisfies the conditions.

System 1: 7x - 5y = 33.5

Substituting x = 3 and y = 2.5:

7(3) - 5(2.5) = 21 - 12.5 = 8.5

System 2: 3x + 3y = 1.5

Substituting x = 3 and y = 2.5:

3(3) + 3(2.5) = 9 + 7.5 = 16.5

System 3: 4x + y = 9.5

Substituting x = 3 and y = 2.5:

4(3) + 2.5 = 12 + 2.5 = 14.5

System 4: 5x - y = 12.5

Substituting x = 3 and y = 2.5:

5(3) - 2.5 = 15 - 2.5 = 12.5

System 5: 2x - 5y = 18.5

Substituting x = 3 and y = 2.5:

2(3) - 5(2.5) = 6 - 12.5 = -6.5

System 6: x + y = 5.5

Substituting x = 3 and y = 2.5:

3 + 2.5 = 5.5

System 7: 11x + 10y = 8

Substituting x = 3 and y = 2.5:

11(3) + 10(2.5) = 33 + 25 = 58

System 8: 5x - 2y = -20

Substituting x = 3 and y = 2.5:

5(3) - 2(2.5) = 15 - 5 = 10

From the calculations, we can see that only System 4: 5x - y = 12.5 satisfies the given conditions when x = 3 and y = 2.5. Therefore, the correct answer is System 4.

User CauseYNot
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