2x+53=53
8x+3=42
What is x and y?

Solve the following system for x and y:

{2 x + 53 = 53, 8 x + 3 = 42}

Check whether x and y are present in the given system:

 The variable y is not present. Therefore its value cannot be determined.

Step-by-step explanation:

 The cost of each chair is $1.5 and the cost of each table is $10

Step-by-step explanation:

We can represent the first statement by the equation 2x + 5y = 53  where x is the cost of a chair and y is the cost of a table.

The second statement can also be represented by the equation  

8x + 3y = 42

Using the equations

2x + 5y =53

8x + 3y = 42    solve for x and y  

Solve  by elimination. Eliminate the x variable by multiply the top equation by -4.

-4( 2x + 5y) = 53(-4)   =  -8x - 20y = -212    

-8x -20y = -212          Add the equations

8x  + 3y  = 42  

        -17y = -170      Divide both sides by -17

    y = 10    

So we know each table cost $10   now input the value for y and solve for x.

8x + 3(10) = 42

8x  + 30 = 42

       -30     -30

8x =  12

x = 1.5  

Each chair cost $1.5

astronomers is your final answer! : )