Okay, let's start solving the system of equations you gave: Step 1: Rearrange the first equation to express y in terms of x: 3x + 4 = y (Original equation) y = 3x + 4 (Subtract 3x from both sides) Step 2: Substitute the expression for y in the second equation: 2y - 5x = 10 (Original equation) 2(3x + 4) - 5x = 10 (Substitute y with 3x + 4) 6x + 8 - 5x = 10 (Distribute the 2) x + 8 = 10 (Combine like terms) x = 2 (Subtract 8 from both sides) Step 3: Substitute the value of x in one of the original equations and solve for y: 3x + 4 = y (Original equation) 3(2) + 4 = y (Substitute x with 2) y = 10 (Simplify) Therefore, the solution to the system of equations is: x = 2 y = 10 I hope this helps! Let me know if you have any questions.