Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Our platform provides a seamless experience for finding reliable answers from a network of experienced 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
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.
