Question

Examine the system of equations.

y = –3x – 2,
y = 7
The value of x is ______.
The solution to this system of equations is _______.

Answer 1

`\boxed{\boxed{\sf x=-3}}`

Explanation:

`\sf y = -3x - 2`

`\sf y=7`

We'll substitute y into the equation:

`\sf 7 = -3x - 2`

Switch sides:

`\sf -3x-2=7`

Add 2 to both sides

`\sf -3x-2+2=7+2`

`\sf -3x=9`

Divide both sides by -3:

`\sf \cfrac{-3x}{-3}=\cfrac{9}{-3}`

`\sf x=-3`

Therefore, the value of x/solution is -3

________________________________________

Answer 2

The value of x is

✔ –3

The solution to this system of equations is

✔ (–3, 7)

Explanation: