Question

y = 1/2x – 6 x = –4 what is the solution to the system of equations? (–8, –4) (–4, –8) (–4, 4) (4, –4)

Answer 1

y = 1/2 (-4) - 6 = -2 - 6 = -8
Therefore, solution is (-4, -8)

Answer 2

(-4,-8)

Explanation:

Given :

`y = (1)/(2) x -6` ---(1)

`x= -4` ------(2)

Solution :

To find the solution of given system of equation we need to use the substitution method i.e. we need to substitute the value of x from equation (2) in equation (1).

⇒
`y=(1)/(2) *(-4)-6`

⇒
`y=-2-6`

⇒
`y= -8`

Thus for x =-4 we get y = -8

Hence (-4,-8) is the solution to the given system of equations .