Question

Is `(1, 1)` a solution to `3y=2x+1`?

Answer 1

Yes.

Explanation:

A point is a solution to an equation such that when plugging it into the equation, the result is a true statement. In this case,

`3y=2x+1`
`3(1)=2(1)+1`
`3=3`

This is true! So, `(1,1)` is a solution.

Answer 2

See the solution process below:

Explanation:

Substitute `color(red)(1)` for `color(red)(x)` and `color(blue)(1)` for `color(blue)(y)` and calculate both sides of the equation to see if the are equal. If both sides of the equation are equal `(1, 1)` is a solution. If they are not equal it is not a solution:

`3color(blue)(y) = 2color(red)(x) + 1` becomes:

`3 * color(blue)(1) = (2 * color(red)(1)) + 1`

`3 = 2 + 1`

`3 = 3`

Both sides of the equation are equal therefore `(1, 1)` is a solution for the equation.