Question
Solve each system using the method of your choice.$$\begin{aligned}x+y &=10 \\2 x-y &=5\end{aligned}$$
Step 1
This is possible because the coefficient of $y$ in the first equation is $1$ and in the second equation is $-1$. When we add these two equations, we get: $$x + y + 2x - y = 10 + 5$$ which simplifies to: $$3x = 15$$ Show more…
Show all steps
Your feedback will help us improve your experience
Kudakwashe Mapiki and 62 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 by substitution. $$\begin{array}{r}10 x+y=-5 \\-5 x+2 y=10\end{array}$$
Solving Systems of Linear Equations
Solving Systems of Linear Equations by Substitution
solve each system using the substitution method. $$\begin{aligned} &-2 x+5 y=5\\ &x=4 y-10 \end{aligned}$$
Systems of Linear Equations
Solving Systems of Equations by the Substitution Method
Use elimination to solve each system of equations. Check your solution. $$\left\{\begin{array}{rr} x+y= & 5 \\ -2 x-2 y= & -10 \end{array}\right.$$
Systems of Equations and Inequalities
Systems of Linear Equations and Inequalities in Two Variables
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
