The pair of the linear system has a unique solution. Then the number of solutions is exactly one.
What is the linear system?
It is a system of an equation in which the highest degree of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The equations are 2y = 3x - 14 and y = 6x - 2.
We know the condition.
[tex]\rm \dfrac{a_1}{a_2} \neq \dfrac{b_1}{b_2}\\\\\dfrac{6}{3} \ \neq \dfrac{1}{2}[/tex]
The system of equations follows the condition.
The graph is shown below.
Since the pair of the linear system has a unique solution.
Thus, the number of solutions is exactly one.
More about the linear system link is given below.
https://brainly.com/question/20379472