Use the elimination method to find all solutions of the system of equations.\\ $\begin{cases} 3x + 5y = 40 \\ 6x + y = 35 \end{cases}$ \\ $(x, y) = (8,35)$
Added by Jordi M.
Close
Step 1
In this case, we can multiply the second equation by 5 to make the coefficient of y the same in both equations. Original equations: 3x + 5y = 40 6x + y = 35 Multiply the second equation by 5: 30x + 5y = 175 Now, we can subtract the first equation from the Show more…
Show all steps
Your feedback will help us improve your experience
Vipender Yadav and 97 other Precalculus 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 by the elimination method. Check each solution. $$ \begin{array}{l} 4 x+3 y=-28 \\ 5 x-6 y=-35 \end{array} $$
Linear Equations, Graphs, and Systems
Solving Systems of Linear Equations by Elimination
Solve each system using elimination $$ \begin{array}{l}{5 x+8 y=40} \\ {3 x-10 y=-13}\end{array} $$
Systems of Equations and Inequalities
Applications o f Linear Systems
Solve by elimination. $$ (-4 x-5 y=-38 x+3 y=-15 $$
Solving Linear Systems
Solving Linear Systems by Elimination
Recommended Textbooks
Precalculus with Limits
Precalculus
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD