Question

Fiona and Iliana went to a going-out-of-business sale at a local video store. The store was advertizing all HD videos on sale for one price and all classic videos for a different price. Fiona bought 5 HD videos and 2 classic videos for $31. Iliana bought 5 classic videos and 3 HD videos for $30. Which system of equations can be used to find the prices of the classic and HD videos? 5 x 2 y = 31. 5 x 3 y = 30. 5 x 2 y = 30. 3 x 5 y = 31. 5 x 2 y = 30. 5 x 3 y = 31. 5 x 2 y = 31. 3 x 5 y = 30.

Answer 1

System of equation is the finite set of the equation for which the common solution are sought. The system of equation for the given problem is,

$5x+2y=31$

$3x+5y=30$

Hence the option 4 is the correct option.

Given information-

Fiona bought 5 HD videos and 2 classic videos for $31.

Iliana bought 5 classic videos and 3 HD videos for $30.

Let y be the price of the classic videos and x be the price of HD videos.

System of equation-

System of equation is the finite set of the equation for which the common solution are sought.

As Fiona bought 5 HD videos and 2 classic videos for $31. Thus,

$5x+2y=31$

As Iliana bought 5 classic videos and 3 HD videos for $30. Thus,

$5y+3x=30$

Rearrange the equation for $x$ term as,

$3x+5y=30$

Thus the system of equation for the given problem is,

$5x+2y=31$

$3x+5y=30$

Hence the option 4 is the correct option.

Learn more about the system of equation here;

https://brainly.com/question/12895249

Answer 2

Answer:

its D

Step-by-step explanation: