Question

How many solutions can be found for the equation 3y + 5 − 2y = 11? (4 points) Select one: a. Zero b. One c. Two d. Infinitely many

Answer 1

Answer:

b. One

Step-by-step explanation:

A (standard-form) linear equation in one variable always has exactly one solution.

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We add the qualifier "standard-form" to eliminate equations of the form

x = x . . . . infinite solutions

or

x = x + a . . . a ≠ 0 . . . . no solutions

When the first of these is put into standard form, it is ...

0 = 0 . . . . no longer a linear equation

When the second of these is put into standard form, it is ...

0 = a . . . . no longer a linear equation in x (and not true, either)

In standard form the given equation is ...

y = 6 . . . . . one solution