Question

How do you solve the system of equations `2x + 6y = 14` and `4x = 16`?

Answer 1

Reduce each equation then substitute the second equation into the first equation. Answer: `(4,1)`

Explanation:

Original equation: Given `2x+6y=14` and `4x=16`, solve for `(x,y)`

We can solve this system of equations by using substitution. First, we can divide the first equation by `2` and the second equation by `4`:
`x+3y=7`
`x=4`

Now, we simply substitute the second equation, `x=4`, into the first equation:
`4+3y=7`
We can subtract `4` from both sides to isolate the `3y`:
`4+3y-4=7-4`
`3y=3`
Now, we divide both sides by `3` to solve for `y`:
`y=1`

Therefore, our solution is the coordinate point `(4,1)`