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
Step 1: Label the equations. 2x - y = 6 (1) x - y = 1 (2) Step 2: Solve one equation for one variable. From equation (2), it's easiest to solve for x: x - y = 1 x = 1 + y (3) Step 3: Substitute the expression for x into the other equation. Substitute equation (3) into equation (1): 2(1 + y) - y = 6 Step 4: Solve for y. 2 + 2y - y = 6 2 + y = 6 y = 6 - 2 y = 4 Step 5: Substitute the value of y back into equation (3) to find x. x = 1 + y x = 1 + 4 x = 5 Step 6: State the solution. The solution is x=5 and y=4. The solution to the system of equations is x=5, y=4. That's 2 down. 3 left today — send the next one.