Final answer:
The missing value to make the y-coordinate equal to 0 in the equation 2x + 3y = 5x - y is found by setting y to 0 and solving for x, resulting in the value (0,0).
Step-by-step explanation:
To find the missing value that makes the y-coordinate equal to 0 in the equation 2x + 3y = 5x - y, we need to set y to 0 and solve for x.
First, simplify and rearrange the equation by moving all terms involving x to one side and the constants to the other:
2x - 5x = -y - 3y
Combine like terms:
-3x = -4y
Since y is set to 0, the equation simplifies to:
-3x = 0
Next, divide both sides by -3 to solve for x:
x = 0 / -3
x = 0
Therefore, the missing value is (0,0).