Answer:
To find the ordered pairs that are solutions to the equation X+2y=8, we need to isolate the variable y on one side of the equation.
We can start by subtracting X from both sides:
X+2y = 8
X+2y-X = 8-X
2y = 8-X
Now we can divide both sides by 2:
y = (8-X)/2
So the ordered pairs (X, y) that are solutions to the equation X+2y=8 are the ones that satisfy the equation y = (8-X)/2.
We can substitute any value of x into the equation and find the corresponding y value.
For example, if we take X= 4, we can find the corresponding y value:
y = (8-4)/2 = 4/2 = 2.
so (4,2) is a solution to the equation X+2y=8.
We can also plot the equation on a Cartesian plane and find the points where the equation is true, those are the solutions.
Alternatively, we can solve the equation for X and find the solutions for y.
X = 8-2y
So the ordered pairs (X, y) that are solutions to the equation X+2y=8 are the ones that satisfy the equation X = 8-2y
We can substitute any value of y into the equation and find the corresponding X value.
For example, if we take y= 2, we can find the corresponding X value:
X = 8-2(2) = 8-4 = 4.
so (4,2) is a solution to the equation X+2y=8.
In this case, any value of X and y that satisfies the equations y = (8-X)/2 or X = 8-2y are solutions to the equation X+2y=8