Solve. $$\begin{aligned} &x^{2}+y^{2}=4\\ &16 x^{2}+9 y^{2}=144 \end{aligned}$$
Added by Paul S.
Step 1
First, we can rearrange the first equation to solve for $y^2$: $$y^2 = 4-x^2$$ Then we can substitute this expression for $y^2$ into the second equation: $$16x^2 + 9(4-x^2) = 144$$ Simplifying and solving for $x^2$, we get: $$7x^2 = 45$$ $$x^2 = Show more…
Show all steps
Close
Your feedback will help us improve your experience
Steven Clarke and 86 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Analytic Geometry Topics
Nonlinear Systems of Equations and Inequalities
Solve. $$\begin{aligned} &y^{2}-4 x^{2}=4\\ &4 x^{2}+y^{2}=4 \end{aligned}$$
Pritesh R.
Solve each system. $$\begin{aligned} x^{2}+y^{2} &=16 \\ y^{2} &=4-x \end{aligned}$$
Piyush Kumar G.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD