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
Let's solve this system of linear equations. 5x + 3y = 9 (1) x + 4y = 5 (2) Step 1: Multiply equation (2) by 5 to make the coefficients of x the same. 5(x + 4y) = 5(5) 5x + 20y = 25 (3) Step 2: Subtract equation (1) from equation (3) to eliminate x. (5x + 20y) - (5x + 3y) = 25 - 9 5x + 20y - 5x - 3y = 16 17y = 16 Step 3: Solve for y. y = (16)/(17) Step 4: Substitute the value of y into equation (2) to solve for x. x + 4((16)/(17)) = 5 x + (64)/(17) = 5 Step 5: Isolate x. x = 5 - (64)/(17) To subtract, find a common denominator: x = (5 × 17)/(17) - (64)/(17) x = (85)/(17) - (64)/(17) x = (21)/(17) The solution to the system of equations is: x = (21)/(17), y = (16)/(17) Drop the next question.