Solve the system by elimination: \begin{cases} 5x - 2y - 2z = -24 \\ x - 6y = -20 \\ x + 5y = 13 \end{cases} Express your answer as an ordered triple in the form (x, y, z).
Added by Josefa B.
Close
Step 1
Step 1: Multiply the second equation by 5 to make the coefficients of x in the second and third equations the same: 5(x-6y) = 5(-20) This simplifies to: 5x - 30y = -100 Show more…
Show all steps
Your feedback will help us improve your experience
Joannie Wang and 100 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 by Elimination In Exercises $13-30,$ solve the system by the method of elimination and check any solutions algebraically. $$ \left\{\begin{array}{r}{3 x-5 y=8} \\ {2 x+5 y=22}\end{array}\right. $$
Systems of Equations and Inequalities
Two-Variable Linear Systems
Solving a System by Elimination In Exercises $13-30$ , solve the system by the method of elimination and check any solutions algebraically. $$ \left\{\begin{array}{c}{-5 x+6 y=-3} \\ {20 x-24 y=12}\end{array}\right. $$
Solving a System by Elimination In Exercises $13-30,$ solve the system by the method of elimination and check any solutions algebraically. $$ \left\{\begin{array}{r}{\frac{x-1}{2}+\frac{y+2}{3}=4} \\ {x-2 y=5}\end{array}\right. $$
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD