Question

by Cramer's rule
2x + y=3
6 x + 5y=1​

Answer 1

Answer:

x=7/2 , y=(-4)

Step-by-step explanation:

2x+y=3

y=3-2x---------(1)

6x+5(3-2x)=1

6x+15-10x=1

-4x=-14

x=7/2=3.5

y=3-2(7/2)

y=3-7

y=(-4)

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Answer 2

Given :  2x + y=3  , 6 x + 5y=1​

To find : Solve using Cramer's rule

Solution:

2x + y    = 3     Eq1

6 x + 5y  = 1​    Eq2

eq2 -  3 * eq1

=> 2y = -8

=> y = -4

2x - 4 = 3

=> x = 7/2

x = 7/2   & y = -4

Using Cramer's Rule

2x + y    = 3    

6 x + 5y  = 1​    

$\left[\begin{array}{ccc}2&1\\6&5 \end{array}\right] = 2 \times5 - 6 \times 1 = 10 - 6 = 4$

$\left[\begin{array}{ccc}3&1\\1&5 \end{array}\right] = 3\times5 - 1 \times 1 = 15 - 1 = 14$

x = 14/4  = 7/2

$\left[\begin{array}{ccc}2&3\\6&1\end{array}\right] = 2 \times1 - 6 \times 3 = 2 - 18 = -16$

y = -16/4  = -4

x = 7/2  & y = -4

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