Question

Solve graphically the pair of linear equations 2x+y=8 and x+1= 2y

Answer 1

Step-by-step explanation:

solution------>

$2x + y = 8 - - - - - - (1) \\ \\ x + 1 = 2y - - - - - -(2)$

first ,

we will solve the equation

$now \: taking \: solution \: of$

x = 0, 1, 2

$take \: x \: = 0 \: n \: put \: in \: equation \: 1 \\ \\ 2x + y = 8 \\ 2 \times 0 + y = 8 \\ 0 + y = 8 \\ y = 8 \\ \\ now \: put \: x = 1 \\ 2x + y = 8 \\ 2 \times 1 + y = 8 \\ 2 + y = 8 \\ y = 8 - 2 \\ y = 6 \\ \\ now \: put \: \: x = 2 \\ \\ 2x + y = 8 \\ 2 \times 2 + y = 8 \\ 4 + y = 8 \\ y = 8 - 4 \\ y = 4 \\ \\ \\ same \: take \: solution \: set \: for \: equation \: 2$

X = 1, 2, 3

$put \: x \: = 1 \\ \\ x + 1 = 2y \\ \\ 1 + 1 = 2y \\ 2 = 2y \\ y = \frac{2}{2} \\ y = 1 \\ \\ put \: \: x = 2 \\ \\ x + 1 = 2y \\ \\ 2 + 1 = 2y \\ 3 = 2y \\ y = \frac{3}{2} \\ \\ y = 1.5 \\ \\ put \: x = 3 \\ \\ x + 1 = 2y \\ \\ 3 + 1 = 2y \\ \\ 4 = 2y \\ \\ y = \frac{4}{2} \\ \\ y = 2$

for graph plz refere to pic

Answer 2

x = 3 , y = 2  is solution  of the pair of linear equations 2x+y=8 and x+1= 2y

Step-by-step explanation:

x          y(2x + y = 8)         y  (  x + 1 = 2y)

-1                    10             0

1             6             1

3             2             2

5             -2             3

7             -6             4

x = 3 , y = 2  is solution

2x+y=8 => 2x = 8 - y

x+1= 2y => 2x + 2 = 4y  => 2x = 4y - 2

8 - y = 4y - 2

=> 5y = 10

=> y = 2

x + 1 = 2* 2

=> x + 1 =4

=> x = 3

(3 , 2)

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