Question

Please see the screenshot and Help ASAP thank you!!

Answer 1

1) Yes

2) No

Explanation:

Substitute the x and y values of the given points into the equation and solve. If the result is a true statement, then they are solutions.

1) First, substitute the x and y values of (1,1.5) for the x and y in the given equation. Then, solve. (You can convert 1.5 from a decimal to a fraction, making it
`(3)/(2)`.)

`1.5= (1)/(4) (1) + (5)/(4) \\(3)/(2) = (1)/(4) +(5)/(4) \\(3)/(2) = (6)/(4) \\(3)/(2) = (3)/(2)`

The result is a true statement. Thus, (1, 1.5) is a solution to the equation.

2) Do the same with the point (12,4):

`4 = (1)/(4) (12) + (5)/(4) \\4 = 3 + (5)/(4) \\4 = (12)/(4) +(5)/(4) \\4 \\eq (17)/(4)`

The result is a false statement. The two values are not equal. Thus, (12,4) is not a solution to the equation.