Question

solved by craners method 3x-2y=3 2x+ y=16​

Answer 1

Answer:

x(-5) y-(-6)

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

____________________________________________________

=> ( -3 × 1 ) - ( -16 × -2 ) = D₁

=> ( -3 ) - ( 32 ) = D₁

=> -35 = D₁

____________________________________________________

=> ( 3 × -16 ) - ( 2 × -3 ) = D₂

=> ( -48 ) - ( -6 ) = D₂

=> -48 + 6 = D₂

=> -42 = D₂

_____________________________________________________

Now we have got our values. According to cramer's rule,

x = \dfrac{ D_1}{D} \:\:\: and \:\:\: y = \dfrac{D_2}{D}x=

D

D

1

andy=

D

D

2

Substituting them we get,

\begin{gathered}\implies x = \dfrac{ -35}{7} = -5 \\ \\ \implies y = \dfrac{ -42}{7} = -6\end{gathered}

⟹x=

7

−35

=−5

⟹y=

7

−42

=−6

Hence x = -5 and y = -6.

Hope my answer helped !

Answer 2

x = 5

y = 6

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