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 steps to solve the system of equations: Step 1: Simplify the first equation. The first equation is 4x + y = 7x. Subtract 4x from both sides to isolate y: y = 7x - 4x y = 3x (*) Step 2: Simplify the second equation. The second equation is 2x + 3y = x. Subtract 2x from both sides: 3y = x - 2x 3y = -x (**) Step 3: Substitute the simplified first equation into the simplified second equation. Substitute y = 3x from equation () into equation (*): 3(3x) = -x 9x = -x Step 4: Solve for x. Add x to both sides of the equation: 9x + x = 0 10x = 0 Divide by 10: x = (0)/(10) x = 0 Step 5: Substitute the value of x back into the simplified first equation to find y. Using y = 3x: y = 3(0) y = 0 The solution to the system of equations is: x = 0 y = 0 x=0, y=0 Send me the next one 📸