Solve each system using the substitution method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. $$ \begin{aligned} &5 x=y-3\\ &5 x=y+5 \end{aligned} $$
Added by Amparo C.
Step 1
Step 1:** Solve the first equation for y by adding 3 to both sides: $$y = 5x + 3$$ ** Show more…
Show all steps
Close
Your feedback will help us improve your experience
Brittany Stefanilo and 73 other Prealgebra 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
Solve each system using the substitution method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. $$ \begin{aligned} y &=2 x-5 \\ 3 y-x &=5 \end{aligned} $$
Systems of Equations in Two Variables
Systems of Equations and Substitution
Solve each system using the substitution method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. $$ \begin{aligned} y &=x-3 \\ 3 x+y &=5 \end{aligned} $$
Solve using the elimination method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. $\begin{aligned} 3 x+5 y &=4 \\-2 x+3 y &=10 \end{aligned}$
Systems of Equations and Elimination
Recommended Textbooks
Grade 6 Mathematics: Open Up Resources, Common Core State Standards Edition
Grade 7 Mathematics: Open Up Resources, Common Core State Standards Edition
Grade 8 Mathematics: Open Up Resources, Common Core State Standards Edition
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD