Question

Is (2,-3) a solution for the linear equation y = 4x - 5? Justify your answer

Answer 1

Answer:

(2,-3) is not a solution to the equation

Step-by-step explanation:

To determine if a point is a solution to the equation, we substitute the point into the equation.  If it is true, then it is a solution, if it is false, then it is not.

y = 4x -5

-3 = 4(2) -5

-3 = 8-5

-3 = 3

This is false , so (2,-3) is not a solution to the equation

Answer 2

Answer: No it is not a solution

Here is why:

The ordered pair (2,-3) means x = 2 and y = -3 pair up together

Let's plug these x and y values into the equation to get...

y = 4x - 5

-3 = 4*2 - 5 .... replace  with 2, replace y with -3

-3 = 8 - 5

-3 = 3 .... we end up with a false equation

Since we get a false equation at the end, this means the original equation is false too. So y = 4x-5 is false when (x,y) = (2,-3) meaning that this point is not on the line. So this point is not a solution.