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
To find (x+y) from the given system of equations: 1) 2x - 5y = -6 2) 4x - 3y = -12 Step 1: Multiply equation (1) by 2 to make the coefficients of x equal. 2(2x - 5y) = 2(-6) 4x - 10y = -12 (3) Step 2: Subtract equation (2) from equation (3) to eliminate x. (4x - 10y) - (4x - 3y) = -12 - (-12) 4x - 10y - 4x + 3y = -12 + 12 -7y = 0 y = 0 Step 3: Substitute the value of y into equation (1) to solve for x. 2x - 5(0) = -6 2x - 0 = -6 2x = -6 x = (-6)/(2) x = -3 Step 4: Calculate the value of (x+y). x+y = -3 + 0 x+y = -3 The final answer is -3. Send me the next one 📸