Graphing Systems of Linear Equations, in Depth
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Problems 8
- Solve the following system by graphing. 3x+4y=2.55x−4y=25.5\begin{align} 3x + 4y &= 2.5 \\ 5x - 4y &= 25.5 \end{align}3x+4y5x−4y=2.5=25.5
- Solve the system of equations by graphing. 2x+5y=122x+5y=122x+5y=12 4x−y=24x-y=24x−y=2 If the solution is (x,y)(x,y)(x,y), write the value of 10x+y10x+y10x+y as your answer.
- Which two equations give you a system with the solution (−2,3)(-2,3)(−2,3)?
- Solve the system of equations by graphing. 3y−x=203y-x=203y−x=20 y−2x=15y-2x=15y−2x=15 If the solution is (x,y)(x,y)(x,y), write in the value of x+yx+yx+y as your answer.
- Solve the system of equations by graphing. {x+3y=62x−6=3y\\\begin{cases}x+3y&=6\\2x-6&=3y\end{cases}{x+3y2x−6=6=3y
- Solve the system of equations by graphing. {12x+4y=164x+12y=16\\\begin{cases}12x+4y&=16\\4x+12y&=16\end{cases}{12x+4y4x+12y=16=16
- Solve the system of equations by graphing. {3x+5y=−739x−4y=104\\\begin{cases}3x+5y&=-73\\9x-4y&=104\end{cases}{3x+5y9x−4y=−73=104
- Solve by graphing the system of equations. y=x^2+2 y=x+4