Question

6x - 14 = ax + 7 - 3x
In the equation shown above, a is a constant. Which of the following values of a results in an
equation with exactly one solution?
A
8
B
9
с
Neither value
D
Both values

Answer 1

Answer:

B or D i think

- Nitsua-Chan <3

Answer 2

Using linear equations, it is found that it has exactly one solution with a = 8, given by option A.

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A linear equation has the following format:

$y = ax + b$

• If two equations have the same value of a, they are parallel, that is, they never meet, and a system of equations involving them has no solutions.
• If they have different values of a, they meet once, and thus the system has one solution.

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The lines are:

$6x - 14$

$ax + 7 - 3x = (a - 3)x + 7$

It has exactly one solution if:

$a - 3 \neq 6$

$a \neq 9$

Thus, it has exactly one solution with a = 8, given by option A.

A similar problem is given at https://brainly.com/question/13967935