Rewrite the equation 4x3x−12+3=10 in two equations joined by “and.”(2 points)

Answer 1

To rewrite the equation \( 4x^3 - 12 + 3 = 10 \) in two equations joined by "and," we can break it down as follows:

1. Rewrite the original equation in a simplified form: \[ 4x^3 - 12 + 3 = 10 \implies 4x^3 - 9 = 10 \]

2. Isolate terms for two new equations: \[ 4x^3 - 9 = 10 \quad \text{and} \quad 4x^3 - 9 + 9 = 10 + 9 \]

This can be combined into two equations: \[ 4x^3 - 9 = 10 \quad \text{and} \quad 0 = 19 \]

However, that doesn't yield meaningful information. A more effective approach is:

1. Set the left and right sides of the equation separately: \[ 4x^3 - 9 = 0 \quad \text{and} \quad 10 = 10 \]

Thus, the rewritten form is: \[ 4x^3 - 9 = 0 \quad \text{and} \quad 10 = 10 \]