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

Your family has $7,200 saved for a kitchen renovation. Each week, your family is saving $100. If the total renovation is going to cost $9,400. Write and solve a
A club's first meeting was attended by 21 people. The second meeting was attended by 3 times as many people as the first meeting. How many people attended the s
Puzzle 1 Can you solve for x and type the correct code? Please remember to type in ALL CAPS with no spaces. Puzzle #l answer choices 1: Solve for 15x - 10 - 20
What is the answer. A. The elevation of sea level is 0 km and the elevation of the summit is 5 km. B. The elevation of sea level is 5 km and the elevation of th
Are you OK Mentally?
In parallelogram EFGH the measure of
PLEASE HELP ME OUT PLEASE
2n + 5 + n = 5 + 2n - 7
There is an opportunity cost for all economic choices because.
HomeworkPlzz help me i have to submit it after 1 hour plzz fast​