This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Fresh day Willsco, let's solve. The question asks how x = -(7)/(4) was worked out from the previous step. Step 1: Convert the mixed number to an improper fraction. The term -3(1)/(2) can be written as: -3(1)/(2) = -(3 + (1)/(2)) = -((3 × 2)/(2) + (1)/(2)) = -((6)/(2) + (1)/(2)) = -(7)/(2) Step 2: Substitute this value into the expression for x. The expression is: x = (-(-31)/(2))2(-1) Substitute -(7)/(2) for -3(1)/(2): x = (-(-7)/(2))2(-1) Step 3: Simplify the numerator. The numerator is -(-(7)/(2)). A negative of a negative is a positive: -(-(7)/(2)) = (7)/(2) Step 4: Simplify the denominator. The denominator is 2(-1): 2(-1) = -2 Step 5: Combine the simplified numerator and denominator. x = (7)/(2)-2 Step 6: Perform the division. Dividing by -2 is the same as multiplying by -(1)/(2): x = (7)/(2) × (-(1)/(2)) x = -(7 × 1)/(2 × 2) x = -(7)/(4) The final value is -(7)/(4). Send me the next one 📸