A) Given: 1) x² - y = 5, and 2) x + y = 1 Solve equation 2) for y, therefore y = ___________________________ Now, plug y into the first equation, x² - (___________________________) = 5 Solve for x and find the values for y and give your answer in (x, y) point form. (___________________________ ___________________________) and (___________________________ ___________________________) How many points of intersection has this system? ___________________________
Added by Tywana W.
Close
Step 1
We have: x + y = 1 Subtract x from both sides: y = 1 - x Now, we can plug this expression for y into the first equation: x^2 - (1 - x) = 5 Now, let's solve for x: x^2 - 1 + x = 5 Combine like terms: x^2 + x - 6 = 0 Now, we need to factor this quadratic Show more…
Show all steps
Your feedback will help us improve your experience
Shareef Jackson and 96 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Solving a System of Nonlinear Equations Using Substitution
Tim T.
Solve nonlinear equations by substitution when one of the equations need to be solved for a variable and determine the points of intersection.
Solve nonlinear equations by elimination and determine the points of intersection.
Khushbu R.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD