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
Here are the solutions to the problems: A. Identify the coefficients and variables of the following terms: 1. For the expression (3)/(4)X - y: • For the term (3)/(4)X: Coefficient: (3)/(4) Variable: X • For the term -y: Coefficient: -1 Variable: y 2. For the term (X)/(2): Coefficient: (1)/(2) Variable: X 3. For the term 12xy: Coefficient: 12 Variable: xy B. Simplify the following: 1. Simplify p + 10p - 7p - 8p + 12p. Step 1: Combine the coefficients of the like terms. (1 + 10 - 7 - 8 + 12)p Step 2: Perform the arithmetic operation on the coefficients. (11 - 7 - 8 + 12)p (4 - 8 + 12)p (-4 + 12)p 8p The simplified expression is 8p. 2. Simplify M - 7M - 3M + 8M. Step 1: Combine the coefficients of the like terms. (1 - 7 - 3 + 8)M Step 2: Perform the arithmetic operation on the coefficients. (-6 - 3 + 8)M (-9 + 8)M -1M The simplified expression is -M. 3. Simplify 3X - X + 7M - 8M. Step 1: Group the like terms together. (3X - X) + (7M - 8M) Step 2: Combine the coefficients for each group of like terms. (3 - 1)X + (7 - 8)M 2X + (-1)M 2X - M The simplified expression is 2X - M. That's 2 down. 3 left today — send the next one.