A video game system and several games are sold for $652. The cost of the games is 3 times as much as the cost of the system. Find the cost of the system and the cost of the games. Cost of the video game system: $

The cost of the system is $163 and The cost of the games is $489

Step-by-step explanation:

∵ A video game system and several games are sold for $652

∵ The cost of the games is 3 times as much as the cost of the system

→ Assume that the cost of the system is $x

∵ The cost of the system = x

∴ The cost of the games = 3 × x = 3x

∵ The total cost of the system and the games = 652

→ Equate the sum of the cost of the system and the cost of the games

   by 652

∴ x + 3x = 652

→ Add the like terms in the left side

∴ 4x = 652

→ Divide both sides by 4 to find x

∵

∴ x = 163

∵ The cost of the system = x

∴ The cost of the system is $163

∵ The cost of the games = 3x

∴ The cost of the games = 3(163) = 489

∴ The cost of the games is $489

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.