Solve each system analytically. If the equations are dependent, write the solution set in terms of the variable $z$. $$\begin{aligned} 5 x-4 y+z &=9 \\ x+y\quad\quad &=15 \end{aligned}$$
Added by Nicol-S B.
Step 1
First, we can solve the second equation for $y$: $$y=15-x$$ Then, we can substitute this expression for $y$ into the first equation: $$5x-4(15-x)+z=9$$ Show more…
Show all steps
Close
Your feedback will help us improve your experience
Eric Carlsen and 88 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
Solve each system analytically. If the equations are dependent, write the solution set in terms of the variable $z$. $$\begin{aligned} 4 x-3 y+z &=9 \\ 3 x+2 y-2 z &=4 \\ x-y+3 z &=5 \end{aligned}$$
Systems and Matrices
Solution of Linear Systems in Three Variables
Solve each system analytically. If the equations are dependent, write the solution set in terms of the variable $z$. $$\begin{aligned} 4 x-y+3 z &=-2 \\ 3 x+5 y-z &=15 \\ -2 x+y+4 z &=14 \end{aligned}$$
Solve each system analytically. If the equations are dependent, write the solution set in terms of the variable $z$. $$\begin{aligned} 3 x-5 y-4 z &=-7 \\ y-z &=-13 \end{aligned}$$
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD