Systems Of Linear Equations Solving By Elimination Addition Ppt Download
Solution Given equations are 2x y = 23 and 4x – y = 19 on adding both equations, we get 6x = 42 ⇒ x = 7 Put the value of x in E1 (i), we get ⇒ 2(7)y= 23 ⇒ 14y =23 ⇒ y= 23–14 ⇒ y= 9 5y–2x =5×9–2×7 = 45–14=31 and y x−2 = 4 x−2 = 9 7−2 = 9−14 7 =−5 7 hence, the values of (5y−2x) and (y x−2) are 31 and −5 7 respectively Mathematics3/8/19 3x 5y = 9 5x 3y = 7 8x 8y = 16 ∴ x y = 2 Dividing both sides by 8 ii Let the length of the rectangle be 'x' and that of breadth be 'y' Perimeter of rectangle = 2(x – 5) (y – 5) ∴ 26 = 2(x y – 10) ∴ x y – 10 = 13 ∴ x y = 23 iii Let the age of Ajay bex years ∴ x (x 5) = 25 ∴ 2x = ∴ x
