Question

Y = – 8x — 49
y= -x
Solve the system by subsitiution

Answer 1

Y= -7
X= 7
7, -7
Or however

Answer 2

`x=7`

`y=-7`

or

`(7,-7)`

Explanation:

`y = -8x-49\\y=-x`

Begin by substituting
`-x` for
`y` in the first equation given:

`-x=-8x-49`

Add
`8x` to both sides of the equation:

`-7x=49`

Divide both sides of the equation by the coefficient of
`x`, which is
`-7`:

`x=7`

Now, substitute the
`x` value into the second equation given:

`y=-(7)`

Distribute the negative:

`y=-7`

-

You can check your work by substituting the solved values into one of the given equations. Let's use the second one, as it will be easier to work with:

`y=-x`

`-7=-(7)`

`-7=-7`

Since the sides of the equation are equal to each other, our solution is correct!