Question

consider the following equation 4x+4y=9 Determine if the following given orderd pair, (3,5/2) satisfies the given equation. Yes or No

Answer 1

Problem

consider the following equation 4x+4y=9 Determine if the following given orderd pair, (3,5/2) satisfies the given equation. Yes or No​

Solution

We have the following equation given:

4x +4y= 9

We can solve for y on this way

4y = 9-4x

y = (9-4x)/4

If we see the point (x=3, y= 5/2) if we replace x= 3 in the equation we got:

y= (9- 4*3)/4= (9-12)/4= -3/4

And since -374 is different from 5/2 we can conclude that the answer is NO