Chapter 4.8, Problem 3TFS

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

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

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

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

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

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

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

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

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

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

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

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

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

$55x-50x=200$

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

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

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

$50x+55x=200$

Triangle Dimensions. The base of a triangle is 3 cm less than the height. The area is 27 cm2. Find the height and the base.