One month diane rented 2 movies and 5 video games for a total of $33. The next month she rented 8 movies and 3 video games for a total of $30 . Frind the rental cost fr each movie and video game.

The rental cost of one movie is $1.5 and one video game costs $6.Step-by-step explanation:Let,Cost of one movie = xCost of one video game = yAccording to given statement; 2x+5y= 33    Eqn 18x+3y=30     Eqn 2Multiplying Eqn 1 by 4[tex]4(2x+5y= 33)\\8x+20y=132\ \ \ Eqn\ 3[/tex]Subtracting Eqn 2 from Eqn 3;[tex](8x+20y)-(8x+3y)=132-30\\3x+20y-8x-3y=102\\17y=102[/tex]Dividing both sides by 17;[tex]\frac{17y}{17}=\frac{102}{17}\\y=6[/tex]Putting y=6 in Eqn 1[tex]2x+5(6)=33\\2x+30=33\\2x=33-30\\2x=3[/tex]Dividing both sides by 2[tex]\frac{2x}{2}=\frac{3}{2}\\x=1.5[/tex]The rental cost of one movie is $1.5 and one video game costs $6.Keywords: linear equation, elimination methodLearn more about linear equations at:brainly.com/question/10941043brainly.com/question/10978510#LearnwithBrainly