Question

18x, + 12x2 = 13 30x, + 24x, = 23

use Cramer's rule to solve (if possible)the system of linear equation.

Answer 1

18x1 +1202 - 13 30x, +2 4X2 - 23 a Gramen's Rule Consider system of two linear equations in two Variables. ax+by = c. axtb2y = ₂ The solution using Cramer's rule is given c bi (2 be x = Da to D 9 bi az b, y = Dy az C oto D al bi be az the x column is ore af We solving we the for x, replaced with solving for then constant column constant column of column is replaced ove with In the given problem and 21 Da x₂ = Dy D

С | Dac bi bz a = 18, b = 12 12, a =30, b, 24, 9=13, C2 = 23 Dx= 13 12 23 24 13x24 - 23x12 312-276 = 36 D- 18 30 24 1 432 - 360 - 72. 0 x - Box 36 Vi 2 72 22= Dy 91 ру az C2 18 13 30 23 414-390 - 24 11 22 Ру 24 D 72 Therefore the solution (1/2, 1/3)