Andymath.com features free videos, notes, and practice problems with answers! Printable pages make math easy. Are you ready to be a mathmagician?
Solve each system of nonlinear equations.
\(\textbf{1)}\) \(x^2+y^2=8\)
\(\) \(y=x\)
\(\textbf{2)}\) \(x^2+y^2=25\)
\(\) \(y=\frac{3}{4}x\)
\(\textbf{3)}\) \(y=x^2+2\)
\(\) \(y=2\)
\(\textbf{4)}\) \(y=x^2-2\)
\(\) \(y=2\)
\(\textbf{5)}\) \(y=x^2-3\)
\(\) \(y=-x^2+5\)
\(\textbf{6)}\) \(y=x^2+2\)
\(\) \(y=2x+2\)
\(\textbf{7)}\) \(y=x^2+2\)
\(\) \(y=2x+1\)
\(\textbf{8)}\) \(y=x^2+2\)
\(\) \(y=2x\)
\(\textbf{9)}\) \(y=x^2+2\)
\(\) \(y=x^2+4\)
Graph each system of inequalities.
\(\textbf{10)}\) \( y\gt x^2 \)
\(\) \( y\lt4 \)
\(\textbf{11)}\) \( x^2+y^2\le36 \)
\(\) \( y\ge3 \)
\(\textbf{12)}\) \( y\ge x^2-4 \)
\(\) \( y\le -x^2+6 \)
\(\textbf{13)}\) \( y\le x^2+3 \)
\(\) \( y\ge x^2-5 \)
Related Pages\(\)
\(\bullet\text{ Solving Systems with Substitution}\)
\(\,\,\,\,\,\,\,\,y=−2x+5\)
\(\,\,\,\,\,\,\,\,y=x-1…\)
\(\bullet\text{ Solving Systems with Elimination}\)
\(\,\,\,\,\,\,\,\,7x+4y=31 \)
\(\,\,\,\,\,\,\,\,3x+2y=15…\)
\(\bullet\text{ Graphing Systems of Inequalities}\)
\(\,\,\,\,\,\,\,\,y\lt-3x+2 \)
\(\,\,\,\,\,\,\,\,y\ge\frac{1}{2}x-1…\)
\(\bullet\text{ 3 variable systems}\)
\(\,\,\,\,\,\,\,\,2x+3y−5z=−7 \)
\(\,\,\,\,\,\,\,\,3x−6y+4z=3 \)
\(\,\,\,\,\,\,\,\,x+4y+2z=15…\)
\(\bullet\text{ Andymath Homepage}\)
In Summary
Solving non-linear systems involves finding the values of the variables that simultaneously satisfy a system of equations with non-linear expressions. This can be done using various methods, such as substitution, elimination, and graphing.
Solving non-linear systems is typically covered in a high school or college algebra class.
A common mistake when solving non-linear systems is to forget to check whether the solution obtained is a valid solution to the original system of equations. It is important to carefully substitute the values of the variables back into the equations in the system to ensure that they are satisfied.
About Andymath.com
Andymath.com is a free math website with the mission of helping students, teachers and tutors find helpful notes, useful sample problems with answers including step by step solutions, and other related materials to supplement classroom learning. If you have any requests for additional content, please contact Andy at tutoring@andymath.com. He will promptly add the content.
Topics cover Elementary Math, Middle School, Algebra, Geometry, Algebra 2/Pre-calculus/Trig, Calculus and Probability/Statistics. In the future, I hope to add Physics and Linear Algebra content.
Visit me on Youtube, Tiktok, Instagram and Facebook. Andymath content has a unique approach to presenting mathematics. The clear explanations, strong visuals mixed with dry humor regularly get millions of views. We are open to collaborations of all types, please contact Andy at tutoring@andymath.com for all enquiries. To offer financial support, visit my Patreon page. Let’s help students understand the math way of thinking!
Thank you for visiting. How exciting!