Collette and Jakara went shopping at a local music store. The shop advertised that all CDs marked with a red dot,r, were one price and all CDs marked with a green dot,g, were another price. Collette bought 2 green-dot CDs and 4 red-dot CDs for $52. Jakara bought 3 red-dot CDs and 1 green-dot CD for $34. Write and solve a system of equations to determine how much the store charges for each green-dot and each red-dot CD.

The store charges $8 for one red dot CD and $10 for one green dot CD.Step-by-step explanation:Given,Red dot CDs = rGreen dot CDs = gAccording to given statement;4r+2g=52   Eqn 13r+g=34    Eqn 2Multiplying Eqn 2 by 2;[tex]2(3r+g=34)\\6r+2g=68\ \ \ Eqn\ 3\\[/tex]Subtracting Eqn 1 from Eqn 3[tex](6r+2g)-(4r+2g)=68-52\\6r+2g-4r-2g=16\\2r=16[/tex]Dividing both sides by 2;[tex]\frac{2r}{2}=\frac{16}{2}\\r=8[/tex]Putting r=8 in Eqn 2[tex]3(8)+g=34\\24+g=34\\g=34-24\\g=10[/tex]The store charges $8 for one red dot CD and $10 for one green dot CD.Keywords: linear equation, subtractionLearn more about linear equations at:brainly.com/question/11175936brainly.com/question/11203617#LearnwithBrainly