Question

solve the following equations by using the cramer's rule: 8x-4y=2 ; x+2y=4​

Answer 1

Answer:

( 1,3 ) = (x,y) are the solution of the equation.

2

Step-by-step explanation:

8x-4y=2

X+2y=4

comparing with ax+by=c,we get,

A1=8 B1=-4 C1=2

A2=1 B2=2 C2=4

Now,

D = | A1 B1 |

| A2 B2|

= |8 -4| = 8×2 -(-4×1)

|1 2| = 16+4

= 20

Dx =|C1 B1|

|C2 B2|

=|2 -4| = 2×2 -(-4×4)

|4 2| = 4+16

= 20

Dy =|A1 C1|

|A2 C2|

=|8 2| = 8×4 - 2×1

|1 4| = 32 - 2

= 30

Now,

x = Dx = 20 = 1

D 20

y = Dy = 30 = 3

D 20 2

( 1 , 3 ) = ( x,y) are the solution of the equation.

2

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