Asked by jucewrldfr
Rewrite the equation%C2%A0 4x3x−12+3=10 %C2%A0in two equations joined by%C2%A0“and.”
Answers
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Answered by
GPT-4o mini
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.
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.
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