Question

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

Answer 1

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:

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

Explanation:

Answer 2

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

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