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Ahat [919]
3 years ago
7

Which of the following equation have exactly one solution?

Mathematics
1 answer:
Archy [21]3 years ago
8 0

Answer:

A, B, C all have one solution.

Step-by-step explanation:

1) Each equation in this question has one variable (x). This means that only one solution will be there.

2) Solve for x, you can cross out option D. When you subtract 52x from both sides, you're left with 52 = -78

Which is not true

3) Option A, if solved x = -65/68

4) Option B, x = 13/2

5) Option C, x = 5

All except D, have one solution, I don't know if it's a multiple choice answer but this is how I can help.

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17. Solve the following:<br> x – 3y = 5<br> 5x – 2y = -1
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Answer:

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Step-by-step explanation:

Given the 2 equations

x - 3y = 5 → (1)

5x - 2y = - 1 → (2)

Rearrange (1) expressing x in terms of y by adding 3y to both sides

x = 5 + 3y → (3)

Substitute x = 5 + 3y in (2)

5(5 + 3y) - 2y = - 1 ← distribute left side

25 + 15y - 2y = - 1

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Substitute y = - 2 in (3) for corresponding value of x

x = 5 + (3 × - 2) = 5 - 6 = - 1

Solution is (- 1, - 2 )

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