Question

1. y = 6x
2x + 3y = -20

Answer 1

Explanation:

`y = 6x`

`2x + 3y = -20`

To solve this system of equations, let's multiply the first equation by
`-3` to get a
`3y` term in each equation:

`-3y = -18x`

Now, let's add the two equations together:

`(2x + 3y) + (-3y) = -20 + (-18x)`

`2x = -20 - 18x`

`20x = -20`

`x = -1`

Now, we can plug in this value of
`x` into either equation to solve for
`y`:

`y = 6x`

`y = 6(-1)`

`y = -6`

or

`2x + 3y = -20`

`2(-1) + 3y = -20`

`-2 + 3y = -20`

`3y = -18`

`y = -6`

Therefore, the solution to this system of equations is
`(-1, -6)`.

Answer 2

x = -1

y = -6

Explanation:

y = 6x

2x + 3y = -20

Substitute the first expression into the second one

We have

2x + 3y = -20

2x + 3(6x) = -20

2x + 18x = -20

20x = -20

Divide both sides by 20 to isolate x

20x/20 = -20/20

x = -1

Remember the first expression

y = 6x

Therefore

y = 6(-1)

y = 6 x -1

y = -6

Check

2(-1) + 3(-6) = -20

-2 + -18 = -20

-2 - 18 = -20

-20 = -20

So our answer is correct