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VARIABLE EQUATIONS & INEQUALITIES UNIT TEST:

REWRITE THE EQUATION _4X____ + 3 = 10 IN TWO EQUATIONS JOINED BY "AND."
3X- 12

1 answer

To rewrite the equation \(-4X + 3 = 10\) in two equations joined by "and," we can break it down into two parts:

  1. Isolate the term involving \(X\): \[ -4X + 3 = 10 \] Subtract 3 from both sides: \[ -4X = 7 \]

  2. Divide both sides by -4 to solve for \(X\): \[ X = -\frac{7}{4} \]

Now we can express the original equation as two equations:

  1. The equation itself: \[ -4X + 3 = 10 \]

  2. The solution found: \[ X = -\frac{7}{4} \]

Thus, we can write it as:

\[ -4X + 3 = 10 \quad \text{AND} \quad X = -\frac{7}{4} \]

If you meant to join them in a different way or have additional context to consider, please clarify!