Which ordered pair is a solution of the equation y = x - 2
There are infinite solutions to the equation y = x - 2. Each solution is an ordered pair (x, y) that makes the equation true.
For example, the ordered pair (3, 1) is a solution because if we substitute x = 3 into the equation, we get y = 3 - 2 = 1, which matches the y value in the ordered pair.
Hence, (3,1) is a solution to the equation y = x - 2.
To find the solution of the equation y = x - 2, we need to substitute values for x and solve for y.
Let's choose a value for x and then calculate the corresponding value for y:
Let's choose x = 3:
y = x - 2
y = 3 - 2
y = 1
So, the ordered pair (3, 1) is a solution to the equation y = x - 2.
To determine which ordered pair is a solution of the equation y = x - 2, we need to substitute different values for x to find the corresponding values of y.
Let's choose a few x-values and substitute them into the equation to find the corresponding y-values:
1. For x = 0:
y = 0 - 2 = -2
The ordered pair (0, -2) is a solution.
2. For x = 3:
y = 3 - 2 = 1
The ordered pair (3, 1) is another solution.
3. For x = -5:
y = -5 - 2 = -7
The ordered pair (-5, -7) is also a solution.
We can find more ordered pairs by substituting different values for x, but these three examples demonstrate that there are multiple solutions to the equation y = x - 2.