A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 12 tables is $105. The total cost to rent 5 chairs and 3 tables is $33. What is the cost to rent each chair and each table?

The cost to rent one chair is $1.5 and one table is $8.5Step-by-step explanation:Let,x be the cost of one chairy be the cost of one tableAccording to given statement; 2x+12y=105    Eqn 15x+3y=33    Eqn 2Multiplying Eqn 2 by 4;[tex]4(5x+3y=33)\\20x+12y=132\ \ \ Eqn\ 3[/tex]Subtracting Eqn 1 from Eqn 3;[tex](20x+12y)-(2x+12y)=132-105\\20x+12y-2x-12y=27\\18x=27[/tex]Dividing both sides by 18[tex]\frac{18x}{18}=\frac{27}{18}\\x=1.5[/tex]Putting x=1.5 in Eqn 1[tex]2(1.5)+12y=105\\3+12y=105\\12y=105-3\\12y=102\\[/tex]Dividing both sides by 12[tex]\frac{12y}{12}=\frac{102}{12}\\y=8.5[/tex]The cost to rent one chair is $1.5 and one table is $8.5Keywords: linear equations, subtractionLearn more about linear equations at:brainly.com/question/5500978brainly.com/question/5496711#LearnwithBrainly