Question

Substitution method 2x+3y=8,4x+6y=12

Answer 1

Answer:

2x + 3y = 8

2x = 8 - 3y

x = 8 - 3y/2

Putting the value of x.

4x + 6y = 12

4×8-3y/2 + 6y = 12

32 - 12y / 2 + 6y = 12

32-6y = 24

-6y = 24 - 32

y= 8/6

y= 4/3

Putting the value of y

x= 8 - 3(4/3)/ 2

2x= 8 - 12/3

2x = 24-12/3

2x = 12/3

x = 4/2

x = 2

Answer 2

Step-by-step explanation:

$2x + 3y = 8.........(1)eq. \\ 4x + 6y = 12......(2)eq. \\ \\ in \: (1)eq. \\ 2x + 3y = 8 \\ 2x = 8 - 3y \\ x = \frac{8 - 3y}{2} ....(3)eq. \\ \\ putting \: the \: value \: of \: x \: on \: (2)eq. \\ 4x + 6y = 12 \\ \\ 4 \times (\frac{8 - 3y}{2} ) + 6y = 12 \\ \\ 2(8 - 3y) + 6y = 12 \\ \\ 16 - 12y + 6y = 12 \\ \\ 16 - 6y = 12 \\ \\ - 6y = 12 - 16 \\ \\ - 6y = - 4 \\ \\ y = \frac{ - 4}{ - 6} \\ \\ y = \frac{ 2}{3} \\ \\ now \: putting \: the \: value \: of \: y \: on \: (3)eq. \\ \\ 2x + 3y = 8 \\ \\ x = \frac{8 - 3y}{2} \\ \\ x = \frac{8 - 3 \times \frac{2}{3} }{2} \\ \\ x = \frac{8 - 2}{2} \\ \\ x = \frac{6}{2} \\ \\ x = 3$