3x - 2y =3
2 x ty = 16 solve by cramers rule
Answers
Answer:
Step-by-step explanation:
Hey there !
Solution:
Equation 1: ( 3x - 2y - 3 = 0 )
Equation 2: ( 2x + y - 16 = 0 )
=> a₁ = 3, a₂ = 2, b₁ = -2, b₂ = 1, c₁ = -3, c₂ = -16
Cramer's Rule:
=> a₁b₂ - a₂b₁ = D
=> c₁b₂ - c₂b₁ = D₁
=> a₁c₂ - a₂c₁ = D₂
Substituting the values, we get,
=> ( 3 × 1 ) - ( 2 × -2 ) = D
=> 3 - ( -4 ) = D
=> 3 + 4 = D
=> 7 = D
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=> ( -3 × 1 ) - ( -16 × -2 ) = D₁
=> ( -3 ) - ( 32 ) = D₁
=> -35 = D₁
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=> ( 3 × -16 ) - ( 2 × -3 ) = D₂
=> ( -48 ) - ( -6 ) = D₂
=> -48 + 6 = D₂
=> -42 = D₂
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Now we have got our values. According to cramer's rule,
Substituting them we get,
Hence x = -5 and y = -6.
Hope my answer helped !
Answer:
x=5,y=7
Step-by-step explanation:
Hope my answer helped !