Question

A system of equations is graphed on the coordinate plane. 2y=3x−14y=6x−2 Select the number of solutions for the system of equations from the drop-down menu. Choose.

Answer 1

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.

$\rm \dfrac{a_1}{a_2} \neq \dfrac{b_1}{b_2}\\\\\dfrac{6}{3} \ \neq \dfrac{1}{2}$

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.

brainly.com/question/20379472