Question

How do you substitute to determine if the ordered pair (3, 2) is a solution of the system of equations y=2x-3 and y=x-2?

Answer 1

Se the entire solution process below:

Explanation:

Substitute `color(red)(3)` for `color(red)(x)` and `color(blue)(2)` for `color(blue)(y)` in each equation, calculate each side of the equation. If both sides of each equation are equal the ordered pair is a solution for the equation otherwise it is not.

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

`color(blue)(2) = (2 * color(red)(3)) - 3`

`2 = 6 - 3`

`2 != 3`

Therefore `(3, 2)` is not a solution for this system of equations.