Question

Solve the following system of equations:

x + 3y = −4
x + 5y = −6

A. (1,1)

B. (-1,1)

C. (1, -1)

D. (-1, -1)

Answer 1

D. (-1, -1)

-1+3*(-1)=-4
-1+5*(-1)=-6

Answer 2

Answer: D. (-1 , -1)

Explanation:

The given system of linear equations :

`x + 3y = -4------------(1)\\\\x + 5y = -6---------------(2)`

Subtract equation (1) from equation (2) , we get

`2y= -6-(-4)=-6+4=-2\\ 2y=-2`

Divide both the sides by 2 , we get

`y=-1` (3)

Substitute the value of y=-1 in equation (1) , we get

`x + 3(-1) = -4`

`x -3 = -4`

Add 3 on both sides , we get

`x=-1` (4)

From (3) and (4) , the solution to the given system = (-1 , -1)

Hence, the correct answer = (-1 , -1)