Question

Find the solution of 3x +2y = -4 and x + 3y = 1 from the following graph :*

(2,1)

(1,-2)

(-2,-1)

(-2,1)​

Answer 1

Step-by-step explanation:

(3x + 2y = -4) - 1

(x + 3y = 1) - 2

Now, multiply eq. 1 by 1 and eq. 2 by 3,

3x+2y= -4

3x+9y = 3

Now Subtract both the equation,

3x+2y= -4

- we get, -7y = -7, y = 1

3x+9y= 3

substitute y value in eq. 1,

3x+2= -4, x= -6/3 = -2

Therefore answer is (-2,1)

Answer 2

Answer:

we're given that 3x +2y = -4

& x +3y =1

so if we put x=2 & y=1

3(2) + 2(1) = 8 ❌

incorrect because it should be -4 rather than 8 as provided in Question , no need to analyse it further.

if we put x=1 & y= -2

3(1) + 2(-2) = -1❌

if we put x= -2 & y= -1

3(-2) + 2(-1) = -8❌

if we put x= -2 & y= 1

3(-2) + 2(1) = -4✅

&

-2 + 3(1) = 1✅

satisfies both given equations, hence (-2,1) is the correct answer.