Chapter 4.8, Problem 1TFS

Translate each word problem to an equation or a system of equations and select a correct translation from choices A–Q.

$\begin{array}{c}x+y+z=38,\\ x=2y-3,\\ y-z=-7\end{array}$

$\frac{1}{2}x\left(x-3\right)=27$

$\begin{array}{l}x+y=180,\\ x=3y-27\end{array}$

$x^2+36={\left(x+4\right)}^2$

$x^2+{\left(x+4\right)}^2=36$

$\begin{array}{l}x+y=10,\\ 0.27x+0.55y=4.8\end{array}$

$\begin{array}{l}x+y=45,\\ 10x-7y=402\end{array}$

$\begin{array}{l}x+y+z=180,\\ y-3x-38=0,\\ x-z=7\end{array}$

$\begin{array}{l}x+y=90,\\ x=3y+10\end{array}$

$2x+2\left(x-3\right)=27$

$\begin{array}{l}x+y+z=38,\\ x-2y=3,\\ x-z=-7\end{array}$

$\begin{array}{l}x+y=10,\\ 27x+55y=4.8\end{array}$

$55x-50x=200$

$x\left(x-3\right)=27$

$\begin{array}{l}x+y=45,\\ 7x+10y=402\end{array}$

$\begin{array}{l}x+y=180,\\ x=3y+27\end{array}$

$50x+55x=200$

Car Travel. Two cars leave town at the same time going in opposite directions. One travels 50 mph and the other travels 55 mph. In how many hours will they be 200 mi apart?