Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
Answer:
x = -[tex]\frac{2}{3}[/tex]
y = 2
Step-by-step explanation:
The process of elimination is a method of solving a system of equations. One must first manipulate one of the equations such that one of the variables shared between the two equations has the inverse coefficient of the same variable in the other equation. Therefore, when one adds the equations, the variable cancels. One can solve for the variable using inverse operations, and then backsolve to find the value of the first variable.
When given the following system:
y = 3x + 4
y + 6x = 3x
Use inverse operations so that both equations are solve for one variable,
y = 3x + 4
y = -3x
Add the systems so that one of the variables (x) cancels, this process is called the process of elimination;
y = 3x + 4
y = -3x
_________
2y = 4
Inverse operations,
2y = 4
y = 2
Now backsolve, find the value of (x) by substituting the value of (y) into the equation:
y = -3x
2 = -3x
x = -[tex]\frac{2}{3}[/tex]
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.