9. Solve 3x+2b=6c%0D%0A3%0D%0A%0D%0A+%0D%0A2%0D%0A%0D%0A=%0D%0A6%0D%0A%0D%0A for x.%0D%0A%0D%0AStep 1: 3x+2b−2b=6c−2b%0D%0A3%0D%0A%0D%0A+%0D%0A2%0D%0A%0D%0A−%0D%0A2%0D%0A%0D%0A=%0D%0A6%0D%0A%0D%0A−%0D%0A2%0D%0A%0D%0A subtract 2b from both sides%0D%0A%0D%0AStep 2: 3x=6c−2b%0D%0A3%0D%0A%0D%0A=%0D%0A6%0D%0A%0D%0A−%0D%0A2%0D%0A%0D%0A combine like terms/simplify%0D%0A%0D%0AStep 3: 3x3=6c3−2b%0D%0A3%0D%0A%0D%0A3%0D%0A=%0D%0A6%0D%0A%0D%0A3%0D%0A−%0D%0A2%0D%0A%0D%0A divide by 3 on both sides to get x isolated%0D%0A%0D%0AStep 4: x=2c−2b%0D%0A%0D%0A=%0D%0A2%0D%0A%0D%0A−%0D%0A2%0D%0A%0D%0A simplify/final answer%0D%0A%0D%0AWhich statement is TRUE?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0AThe process has an error. The correct answer is x=2c−23b%0D%0A%0D%0A=%0D%0A2%0D%0A%0D%0A−%0D%0A2%0D%0A3%0D%0A%0D%0AThe process has an error. The correct answer is x is equal to 2 c minus 2 thirds b%0D%0A%0D%0AThe process has an error. The correct answer is x=−4b−c%0D%0A%0D%0A=%0D%0A−%0D%0A4%0D%0A%0D%0A−%0D%0A%0D%0AThe process has an error. The correct answer is x is equal to negative 4 b minus c%0D%0A%0D%0AThe process is correct.%0D%0AThe process is correct.%0D%0A%0D%0AThe process has an error. The correct answer is x=4bc3
The process has an error. The correct answer is x=2c−2b/3.
The process has an error. The correct answer is x=2c−23b.
To solve the equation 3x + 2b = 6c, we will follow these steps:
Step 1: Subtract 2b from both sides:
3x + 2b - 2b = 6c - 2b
3x = 6c - 2b
Step 2: Combine like terms and simplify:
3x = 6c - 2b
Step 3: Divide both sides by 3 to isolate x:
(3x)/3 = (6c - 2b)/3
x = (6c - 2b)/3
The correct answer is x = (6c - 2b)/3. Therefore, the statement "The process is correct" is true.