x +2y+1=0 and 2x*3y-12=0 by Criss cross method
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Step-by-step explanation:
Given, x + 2y = -1 => x + 2y + 1 = 0
2x - 3y = 12 => 2x - 3y - 12 = 0
according to Cramer's rule,
when two equations a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 .
then, \frac{x}{b_1c_2-b_2c_1}=\frac{-y}{a_1c_2-a_2c_1}=\frac{1}{a_1b_2-b_1a_2}
now, use it here,
equations :- x + 2y + 1 = 0
2x -3y - 12 = 0
x/{2 × (-12) - 1 × (-3)} = -y/{1 × (-12) - 1 × 2} = 1/{1 × (-3) - 2 × 2}
=> x/(-24 + 3) = -y/(-12 - 2) = 1/(-3 - 4)
=> x/-21 = -y/-14 = 1/-7
=> x = -21/-7 = 3 and y = 14/-7 = -2
hence, x = 3 and y = -2
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