Rewrite the equation%C2%A0 4x3x−12+3=10 %C2%A0in two equations joined by%C2%A0“and.”

Answer 1

To rewrite the equation \(4x^3 - 12 + 3 = 10\) in two equations joined by “and,” we first simplify the equation.

Starting with the original equation: \[ 4x^3 - 12 + 3 = 10 \] we can simplify it to: \[ 4x^3 - 9 = 10 \] Next, we move \(10\) to the left side: \[ 4x^3 - 9 - 10 = 0 \] which simplifies to: \[ 4x^3 - 19 = 0 \]

Now, we can express this as two separate equations. For example, we can set \(4x^3 = 19\) and recognize that \(y=10\) from the original equation context:

So, the rewritten form is: \[ 4x^3 = 19 \quad \text{and} \quad y = 10 \] where \(y\) represents the constant derived from the original equation.