Question

part a
based on the balances scale and if a circle weighs 4 kilograms, write an equation to find the weight of each square.
4x = 2x + 3
4 = 2 + 3x
16 = 8 + 3x
4x = 2x + 12
part b
1.5
based on the equation you wrote if a circle weighs 4 kilograms, solve the equation to find the weight of each square.

Explanation:

Step1: Solve the equation \(4 = 2+3x\)

Subtract \(2\) from both sides:
\(4 - 2=2 + 3x-2\)
\(2 = 3x\)
Divide both sides by \(3\):
\(x=\frac{2}{3}\)

Step2: Solve the equation \(16 = 8+3x\)

Subtract \(8\) from both sides:
\(16 - 8=8 + 3x-8\)
\(8 = 3x\)
Divide both sides by \(3\):
\(x=\frac{8}{3}\)

Step3: Solve the equation \(4x = 2x+12\)

Subtract \(2x\) from both sides:
\(4x-2x=2x + 12-2x\)
\(2x=12\)
Divide both sides by \(2\):
\(x = 6\)

Answer:

For \(4 = 2+3x\), \(x=\frac{2}{3}\); for \(16 = 8+3x\), \(x=\frac{8}{3}\); for \(4x = 2x+12\), \(x = 6\)