Question

solve graphically 2x=9-y and 3x-y=6​

Answer 1

Answer:

Given:-

equations

$2x = 9 - y \: \: ...............(1) \\ 3x - y = 6 \: \: .................(2)$

hence;

first we take equation 1 and solve for y

$take \: x \: = 0 \\ \\ 2x = 9 - y \\ 2 \times 0= 9 - y \\ 0- 9 = - y \\ y = 9 \\ \\ put \: x = 2 \\ \\ 2x = 9 - y \\ 2 \times 2 = 9 - y \\ 4 - 9 = - y \\ y = 5 \\ \\ put \: x = 3 \\ \\ 2x = 9 - y \\ 2 \times 3 = 9 - y \\ 6 - 9 = - y \\ y = 3 \\ \\ take \: equation \: 2 \\ \\ 3x - y = 6 \\ \\ put \: x \: = 1 \\ \\ 3 \times 1 - y = 6 \\ 3 - y = 6 \\ - y = 6 - 3 \\ y = - 3 \\ \\ put \: x \: = 2 \\ \\ 3 \times 2 - y = 6 \\ 6 - y = 6 - y = 6 - 6 \\ y = 0 \\ \\ put \: x \: = 3 \\ \\ 3 \times 3 - y = 6 \\ 9 - y = 6 \\ - y = 6 - 9 \\ y = 3$

hence;

for graph n solution table plz refere the picture

Answer 2

Answer:

x=3

y=3

Step-by-step explanation:

To solve these equations graphically;first draw both lines

1) 2x=9-y

put x=0

y=9

(0,9)

put y=1

x=4

(4,1)

mark these points and join them .

2) 3x-y=6

put x=0

y=-6

(0,-6)

put y=0

x=2

(2,0)

mark these points and join them.

Both the lines will meet at x=3 and y=3;hence the solution.

Hope it helps you.