lacey112298
lacey112298 lacey112298
  • 01-06-2015
  • Mathematics
contestada

8. What is the solution to the system? y = 1/2x, 2x + 3y = 28
A) (2, 3)
B) (8, 4)
C) (7, 3.5)
D) (2, 14)

Respuesta :

naǫ
naǫ naǫ
  • 02-06-2015
[tex]y=\frac{1}{2}x \\ 2x+3y=28 \\ \\ \hbox{substitute } \frac{1}{2}x \hbox{ for y in the second equation:} \\ 2x+3 (\frac{1}{2}x)=28 \\ 2x+\frac{3}{2}x=28 \ \ \ \ \ |\times 2 \\ 4x+3x=56 \\ 7x=56 \ \ \ \ \ \ \ \ \ \ \ \ |\div 7 \\ x=8 \\ \\ y=\frac{1}{2}x=\frac{1}{2} \times 8=4 \\ \\ \boxed{(x,y)=(8,4)} \Leftarrow \hbox{answer B}[/tex]
Answer Link

Otras preguntas

1) (8-6) ÷ 2+10= 2) 10 (7 - 4) *5
Which word group shows parallelism? coffee mugs, soup bowls, salad plates camera, pack my suitcase, to hug my mom my favorite restaurant, playing music, walk
7. Which is the tense of the underlined verb? I wish we ->had toured<- the Concord Museum while we were in Massachusetts. A. past B. past perfect
Answer?? Please thxs
The distance of planet Mercury from the Sun is approximately 5.8 ⋅ 107 kilometers, and the distance of Earth from the Sun is 1.5 ⋅ 108 kilometers. About how man
What characteristics define the counterculture?
Centerville has a population of 10,000 people. The town is currently experiencing a severe drought. The city council has decided to require all toilets to be fi
Briefly explain the difference between cloning and gene therapy.
Math help ASAP. Ty :D <3
Find the value of a in the parallelogram