Question

Y = x – 6

x = –4
What is the solution to the system of equations?

(–8, –4)
(–4, –8)
(–4, 4)
(4, –4)

Answer 1

y = x - 6
x = -4

plug in the second equation in to the first

y = -4 - 6
y = -1(4 + 6)
y = -1(10)
y = -10

The solution to the system is not listed in the options. The correct solution is (-4, -10).

Answer 2

(-4,-10)

Explanation:

Given :
`y=x -6\\x=-4`

To Find :What is the solution to the system of equations?

Solution:

y=x-6 ---(1)

x= -4 ---(2)

Now we will use substitution method

Now put value of x from equation 2 in equation 1

⇒y = -4-6

⇒y = -10

Thus (x,y)=(-4,-10)

Hence the solution to the system of equations is (-4,-10)