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: Write down the given system of equations. Equation (1): 2x - y = 6 Equation (2): x - y = 1 Step 2: Solve one of the equations for one variable in terms of the other. From Equation (2), it's easy to isolate x: x = 1 + y Step 3: Substitute this expression into the other equation. Substitute x = 1 + y into Equation (1): 2(1 + y) - y = 6 Step 4: Solve the resulting equation for y. 2 + 2y - y = 6 2 + y = 6 Subtract 2 from both sides: y = 6 - 2 y = 4 Step 5: Substitute the value of y back into the expression for x (from Step 2). x = 1 + y x = 1 + 4 x = 5 The solution to the system of equations is x=5 and y=4. The answer is x=5, y=4. Last free one today — make it count tomorrow, or type /upgrade for unlimited.