Answer: 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
