Question
Verify that the values of the variables listed are solutions of the system of equations.$$\begin{aligned}&\left\{\begin{array}{l}{2 x-y=5} \\{5 x+2 y=8}\end{array}\right.\\&x=2, y=-1 ;(2,-1)\end{aligned}$$
Step 1
The first equation is $2x - y = 5$. Substituting $x = 2$ and $y = -1$ gives $2(2) - (-1) = 5$. Simplifying this gives $4 + 1 = 5$, which is true. Show more…
Show all steps
Your feedback will help us improve your experience
Brandon Fox and 50 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
Verify that the values of the variables listed are solutions of the system of equations. $$\begin{aligned} &\left\{\begin{array}{l} 2 x-y=5 \\ 5 x+2 y=8 \end{array}\right.\\ &x=2, y=-1 ;(2,-1) \end{aligned}$$
Systems of Equations and Inequalities
Systems of Linear Equations: Substitution and Elimination
Verify that each system of equations has the indicated solution. $$\begin{aligned} &\left\{\begin{array}{l} 2 x-y=2 \\ 6 x-5 y=8 \end{array}\right.\\ &\text { Solution: } x=\frac{1}{2}, y=-1 \end{aligned}$$
Systems of Linear Equations and Inequalities in Two Variables
Verify that each system of equations has the indicated solution. $\left\{\begin{array}{r}-x-2 y=5 \\ -2 x+y=-5\end{array}\right.$ Solution: $x=1, y=-3$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD