solve by cremer' s rule 3 x- 4 y=10,4 x+3 y=5.
Answers
Step-by-step explanation:
The given simultaneous equations are 3x – 4y = 10 …(i) 4x + 3y = 5 …(ii) Equations (i) and (ii) are in ax + by = c form. Comparing the given equations with a1 x + b1 y = c1 and a2 x + b2 y = c2 , we get a1 = 3, b1 = -4, c1 = 10 and a2 = 4, b2 = 3, c2 = 5 ∴ (x, y) = (2, -1) is the solution of the given simultaneous equations. ii. The given simultaneous equations are 4x + 3y – 4 = 0 ∴ 4x + 3y = 4 …(i) 6x = 8 – 5y ∴ 6x + 5y = 8 …(ii) Equations (i) and (ii) are in ax + by = c form. Comparing the given equations with a1 x + b1 y = c1 and a2 x + b2 y = c2 , we get a1 = 4, b1 = 3, c1 = 4 and a2 = 6, b2 = 5, c2 = 8 ∴ (x, y) = (-2, 4) is the solution of the given simultaneous equations. iii. The given simultaneous equations are x + 2y = -1 …(i) 2x – 3y = 12 …(ii) Equations (i) and (ii) are in ax + by = c form. Comparing the given equations with a x + b y = C and a x + b y = c , we get a1 = 1, b1 = 2, c1 = -1 and a2 = 2, b2 = -3, c2 = 12 ∴ (x, y) = (3, -2) is the solution of the given simultaneous equations.Read more on Sarthaks.com - https://www.sarthaks.com/841964/solve-the-following-simultaneous-equations-using-cramers-rule-i-3x-4y-10-4x-3y-5