Question

Draw the following pair of linear equation in two variables and solve them. 2x + 3y + 4 = 0
9x -3y + 5 = 0
plz do the full graph
this is urgent guyz ​

Answer 1

Answer:

Given:-

$2x + 3y + 4 = 0 \\ \\ 9x - 3y + 5 = 0$

To find:-

• draw liner equation on graph paper

Solution:-

$2x + 3y = - 4 \: \: \: ...........(1) \\ \\ 9x - 3y = - 5 \: \: ............(2)$

• now take equation 1 ande asume the value of x
• be 0 , 1 , 2 and solve for y

$2x + 3y = - 4 \\ \\ put \: x = 0 \\ \\ 2 \times 0 + 3y = - 4 \\ 0 + 3y = - 4 \\ \\ 3y = - 4 \\ y = \frac{ - 4}{3} \\ y = - 1.3 \\ \\ put \: x = 1 \\ \\ 2x + 3y = - 4 \\ 2 \times 1 + 3y = - 4 \\ 2 + 3y = - 4 \\ 3y = - 4 - 2 \\ 3y = - 6 \\ y = \frac{ - 6}{3} \\ y = - 2 \\ \\ now \: put \: \: x = 2 \\ \\ 2x + 3y = - 4 \\ 2 \times 2 + 3y = - 4 \\ 4 + 3y = - 4 \\ 3y = - 4 - 4 \\ 3y = - 8 \\ y = \frac{ - 8}{3} \\ y = - 2.6$

now for 2nd equation

take x be 1 , 2 ,3

$9x - 3y = - 5 \\ \\ put \: \: x = 1 \\ 9 \times 1 - 3y = - 5 \\ 9 - 3y = - 5 \\ - 3y = - 5 - 9 \\ - 3y = - 14 \\ y = \frac{ - 14}{ - 3} \\ y = 4.6 \\ \\ now \: put \: \: x = 2 \\ \\ 9x - 3y = - 5 \\ 9 \times 2 - 3y = - 5 \\ 18 - 3y = - 5 \\ - 3y = - 5 - 18 \\ - 3y = - 23 \\ y = \frac{ - 23}{ - 3} \\ y = 7.6 \\ \\ now \: put \: \: x = 3 \\ \\ 9x - 3y = - 5 \\ 9 \times 3 - 3y = - 5 \\ 27 - 3y = - 5 \\ - 3y = - 5 - 27 \\ - 3y = - 32 \\ \\ y = \frac{ - 32}{3} \\ y = 10.6$

now plot this point on graph

plz refere the picture