![If [[2, -y-4], [3, x+y]] = [[7, 4], [3, 9]] find the value of x and y.](/_next/image?url=https%3A%2F%2Fohijasnjvprzodcmxltt.supabase.co%2Fstorage%2Fv1%2Fobject%2Fpublic%2Fwhatsapp-images%2F1788003494305-cc853bb971bb6b4b.png&w=3840&q=75)
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
To find the values of x and y, we equate the corresponding elements of the two matrices. Given the matrix equality: 2 & -y-4 \\ 3 & x+y = 2 & 7 \\ 3 & 9 Step 1: Equate the elements in the top right position. -y-4 = 7 Add 4 to both sides: -y = 7 + 4 \\ -y = 11 Multiply by -1: y = -11 Step 2: Equate the elements in the bottom right position. x+y = 9 Substitute the value of y = -11 into this equation: x + (-11) = 9 \\ x - 11 = 9 Add 11 to both sides: x = 9 + 11 \\ x = 20 Step 3: State the values of x and y. The values are x = 20 and y = -11. The final answer is x=20, y=-11. Send me the next one 📸