No.124 Complex Systems
POINT
Use the distributive property to remove parentheses → transpose terms → combine like terms to simplify each equation. Then solve the resulting system.
Solve the following system of equations.
Example
\(\begin{cases}2(x+y)-3(y-1)=8\\3(2x-y)-2(x+2y)=15\end{cases}\)
\((x,y)=(2,-1)\)
Try it yourself.
Solve the following system of equations.
PRACTICE 01
\(\begin{cases}3(x+y)-2y=7\\2(x-y)+3y=8\end{cases}\)
PRACTICE 02
\(\begin{cases}2(2x-y)+y=9\\3(x+y)-x=7\end{cases}\)
PRACTICE 03
\(\begin{cases}4(x-y)+2y=10\\2(x+2y)-3y=5\end{cases}\)
1. \(x=-1,\ y=10\)
2. \(x=\frac{17}{7},\ y=\frac57\)
3. \(x=\frac52,\ y=0\)