SOLUTION: Is (4,0) (5,4) ordered pairs solutions for 4x-y=16

Question 70953: Is (4,0) (5,4) ordered pairs solutions for 4x-y=16
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given the equation and the two points (4, 0) and (5, 4)
.
If the two points are a solution for the equation, their x and y values can be put into the equation
and it will cause the left side of the equation to equal the right side of the equation.
.
Let's see if the ordered point (4, 0) is a solution. This point has an x value of 4 and a y value
of 0. So replace x in the equation by 4 and y by 0. The equation then becomes:
.

.
In your head you can multiply 4*4 and subtract zero and tell that the point (4, 0) has to be
a solution of the equation because the value of the left side equals the 16 on the right side.
.
Now let's try the other ordered point (5, 4). In this point, x = 5 and y = 4. Substitute 5
for x and 4 for y in the equation to get:
.

.
If you multiply 4 times 5 and subtract 4 from that answer you can see that the left side again
equals the right side. So this ordered pair also satisfies the equation.
.
The answer is that both points satisfy the equation.
.
Hope this helps you to see what the problem was asking you to do.

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