Systems of Linear Equations with Two Variables, in Depth
Read this topicExplanations 2
- Complex equations with two variables are, of course, equations that involve two different variables. However, the equation is complicated and the same variables may pop up more …
By Mauvese Stone, Cameron Montag, Alex Federspiel
- Two Ways to Solve Systems of Linear Equations Substitution\textbf{Substitution}Substitution Substitution is one of the easiest ways to solve a system of linear equations once yo…
By Amy Feraco
Problems 11
- Let x+y=xyx + y = xyx+y=xy. If x=8x = 8x=8, then find yyy.
- Assume 2x=3y2^x = 3^y2x=3y. Solve for yyy.
- Consider the following equation. x2y=2y+xx^2y = \frac{2}{y} + xx2y=y2+x If xxx and yyy are both positive, what is xyxyxy?
- Solve this system. {3x−2y=26−6xx3 +2y=183y\\\begin{cases}3x-2y&=26-6x\\\frac{x}{3}\ +2y&=\frac{18}{3y}\end{cases}{3x−2y3x +2y=26−6x=3y18
- Solve this system. {2x+7xy=22x8yx −6y=6y\\\begin{cases}2x+7xy&=22x\\\frac{8y}{x}\ -6y&=6y\end{cases}{2x+7xyx8y −6y=22x=6y
- Solve this system. {3x+8y−16=12y−8x+122x+6y=4x+10y12\\\begin{cases}3x+8y-16&=12y-8x+12\\2x+6y&=\frac{4x+10y}{12}\end{cases}{3x+8y−162x+6y=12y−8x+12=124x+10y
- Solve this system. {3x+4y=3x+4y855x−y=2\\\begin{cases}3x+4y&=\frac{3x+4y}8\\\frac5{5x-y}&=2\end{cases}{3x+4y5x−y5=83x+4y=2
- Solve the system of nonlinear equations by eliminating. {7y−3x=−165y−9x=16\\\begin{cases}7y-3x=-16\\5y-9x=16\end{cases}{7y−3x=−165y−9x=16
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- Alex gets coffee every weekday afternoon. There are three coffee shops near the Expii office: Starbucks, Dunkin' Donuts, and Crazy Mocha. If Alex gets Crazy Mocha on Day 1, it i…