Question

Sove by cramer's rule 5x - 3 y = 14;
3y - 2x = 1
​

Answer 1

Answer:−

Solution : Given equations

5x + 3y = -11

2x + 4y = -10

D =5 3

2 4 = (5 ´ 4) - (2 ´ 3) = 20 - 6 = 14

Dx =-11 3

-10 4 = (-11) ´ 4 - (-10) ´ 3 = -44 -(-30)

= -44 + 30

= -14

Dy = 5 -11

2 -10 = 5 ´ (-10) - 2 ´ (-11) = -50 -(-22)

= -50 + 22 = -28

x = Dx

D = −14

14 = -1 and y = Dy

D = −28

14 = -2

(x, y) = (-1, -2) is the solution

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