Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
The pair of linear equations has a unique solution. Then the pair of equations is consistent and independent.
What is the linear system?
It is a system of an equation in which the highest power 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
[tex]\rm y=-x +12 \ \ and \ \ y=-2x + 2[/tex] are the linear equations.
We know the condition,
[tex]\rm \dfrac{a_1}{a_2} \neq \dfrac{b_1}{b_2}\\\rm \dfrac{1}{2} \ \neq \dfrac{1}{1}\\\dfrac{1}{2} \ \neq 1[/tex]
The pair of equations satisfies the condition.
The pair of linear equations has a unique solution.
If a system has at least one solution, the system is consistent.
If the consistent system has exactly one solution then the system is independent.
Thus, the pair of equations is consistent and independent.
More about the linear system link is given below.
https://brainly.com/question/20379472
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.
