chiltonolivia2007
chiltonolivia2007 chiltonolivia2007
  • 20-06-2021
  • Mathematics
contestada

how many solutions does this system have?

how many solutions does this system have class=

Respuesta :

Corsaquix
Corsaquix Corsaquix
  • 20-06-2021

Answer:

B. One

Step-by-step explanation:

Multiply the first equation by 2 and then add both equations to get rid of [tex]x[/tex]:

[tex]\begin{cases}2x+8y=18,\\-2x+y=0\end{cases}[/tex]

Adding both equations:

[tex]8x+y=18,\\9y=18,\\y=2[/tex]

Substituting [tex]y=2[/tex]:

[tex]-2x+2=0,\\-2x-2,\\x=1[/tex]

Therefore the only solution to the system of equations is (1, 2) and the system has one solution.

Answer Link

Otras preguntas

What did Robert Boyle teach in the 1600s?
How do you get 85 tens in 23 ones in standard form ?
which best describes sectionalism
A gardener buys a plant that is 12cm in height. Each week after that the plant grows 10cm. Note: The plant is 12cm high at the beginning of the week. what is th
Geometry proofs - paragraph proofs to formal proofs! Prove RS = TU
A six-sided number cube is rolled twice. Which expression can be used to find P(5, then3)? A. 1/5 x 1/3 B. 1/6 x 1/5 C. 5/6 x 3/6 D. 1/6 x 1/6
What Organ filters the blood to remove the waste
Ancient Egypt was concentrated along the ___?
The economic significance of successful ticket scalping (scalpers sell tickets at higher than official prices) at baseball games is that:
Farmers on the frontier demand that the governor take strong measures against ____.