find ordered pairs for x+4y=6
Choose 4 x's -- (any four you want) and compute the corresponding y's. Here's one example: x = -2, y = 2 (-2,2)
I am very confused on this, any more help available?
To find the ordered pairs for the equation x + 4y = 6, we need to solve the equation for both x and y. Let's start with finding the values for x.
1. Substitute a value for y:
Let's choose y = 0. Plug this into the equation:
x + 4(0) = 6
This simplifies to x + 0 = 6
Therefore, x = 6.
2. Substitute another value for y:
Let's choose y = 1. Plug this into the equation:
x + 4(1) = 6
This simplifies to x + 4 = 6
Subtracting 4 from both sides gives:
x = 2.
Now, we have two values for x: x = 6 and x = 2.
To determine the corresponding values for y, plug these values of x back into the equation x + 4y = 6.
For x = 6:
6 + 4y = 6
4y = 6 - 6
4y = 0
y = 0.
For x = 2:
2 + 4y = 6
4y = 6 - 2
4y = 4
y = 1.
Hence, the ordered pairs (x, y) are (6, 0) and (2, 1).