1 Solve the following equations. Match the equation with the correct solution. \( \square \) \( -8+x=3 \) \( x+12=6 \) \( 9 x=-81 \) \( \frac{1}{4} x=3 \) \( \frac{x}{-3}=7 \) \( \square \) \( \qquad \) \( \square \) DRNA A DEOD THE ANSWIR \[ z=9 \] \[ x=-21 \] \( x=-6 \) \( x=12 \) \( z=11 \)

Solve the equation \( -8+x=3 \). Solve the equation by following steps: - step0: Solve for \(x\): \(-8+x=3\) - step1: Move the constant to the right side: \(x=3+8\) - step2: Add the numbers: \(x=11\) Solve the equation \( x+12=6 \). Solve the equation by following steps: - step0: Solve for \(x\): \(x+12=6\) - step1: Move the constant to the right side: \(x=6-12\) - step2: Subtract the numbers: \(x=-6\) Solve the equation \( 9x=-81 \). Solve the equation by following steps: - step0: Solve for \(x\): \(9x=-81\) - step1: Divide both sides: \(\frac{9x}{9}=\frac{-81}{9}\) - step2: Divide the numbers: \(x=-9\) Solve the equation \( \frac{1}{4}x=3 \). Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{1}{4}x=3\) - step1: Multiply by the reciprocal: \(\frac{1}{4}x\times 4=3\times 4\) - step2: Multiply: \(x=12\) Solve the equation \( \frac{x}{-3}=7 \). Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{x}{-3}=7\) - step1: Rewrite the fraction: \(-\frac{x}{3}=7\) - step2: Rewrite the expression: \(\frac{-x}{3}=7\) - step3: Cross multiply: \(-x=3\times 7\) - step4: Simplify the equation: \(-x=21\) - step5: Change the signs: \(x=-21\) The solutions to the given equations are: 1. \( -8+x=3 \) : \( x=11 \) 2. \( x+12=6 \) : \( x=-6 \) 3. \( 9x=-81 \) : \( x=-9 \) 4. \( \frac{1}{4}x=3 \) : \( x=12 \) 5. \( \frac{x}{-3}=7 \) : \( x=-21 \) Therefore, the correct solutions are: 1. \( x=11 \) 2. \( x=-6 \) 3. \( x=-9 \) 4. \( x=12 \) 5. \( x=-21 \)