Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
The solution of the system of equation is x = -1 and y=10/3.
The correct option is A.
Given
The given system of equation is;
[tex]\rm x + 3y = 9\\\\3x - 3y = -13[/tex]
What is a system of equations?
A system of linear equations is a collection of two or more linear equations.
From equation 1
[tex]\rm x+3y=9\\\\x=9-3y[/tex]
Substitute the value of x in equation 2
[tex]\rm 3x-3y=-13\\\\3(9-3y)-3y=-13\\\\27-9y-3y=-13\\\\-12y=-13-27\\\\-12y=-40\\\\12y=40\\\\y = \dfrac{40}{12}\\\\y=\dfrac{10}{3}[/tex]
Substitute the value of y in equation 1
[tex]\rm x+3y=9\\\\ x + 3\dfrac{10}{3}=9\\\\x+10=9\\\\x=9-10\\\\x=-1[/tex]
Hence, the solution of the system of equation is x = -1 and y=10/3.
To know more about the system of equations click the link given below.
https://brainly.com/question/12895249
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.
