Consider the following equation:

[tex]$4 x-y=5$

Step 1 of 2: Determine the missing coordinate in the ordered pair (0, ?) so that it will satisfy the given equation.

Substitute x = 0 into the equation 4 x − y = 5 .
Simplify the equation to − y = 5 .
Multiply both sides by − 1 to solve for y , resulting in y = − 5 .
The missing coordinate is − 5 ​ .

Explanation

Understanding the Problem We are given the equation 4 x − y = 5 and the ordered pair ( 0 , ?) . Our goal is to find the missing y -coordinate so that the ordered pair satisfies the equation. This means that when we substitute x = 0 into the equation, we can solve for y .

Substituting x = 0 Substitute x = 0 into the equation 4 x − y = 5 :


4 ( 0 ) − y = 5
0 − y = 5
− y = 5

Solving for y To solve for y , we multiply both sides of the equation by − 1 :

( − 1 ) ( − y ) = ( − 1 ) ( 5 )
y = − 5

Final Answer Therefore, the missing coordinate is − 5 . The ordered pair that satisfies the equation is ( 0 , − 5 ) .

Examples
In real life, this type of problem can be used to determine the relationship between two variables, such as the cost of a product and the quantity purchased. For example, if the equation 4 x − y = 5 represents the relationship between the number of items purchased ( x ) and the total cost ( y ), then finding the y -coordinate when x = 0 tells us the fixed cost or initial fee, regardless of the number of items purchased. Understanding this relationship allows businesses to make informed decisions about pricing and inventory.

Answered by GinnyAnswer | 2025-07-04

To find the missing coordinate in the ordered pair (0, ?), we substitute x = 0 into the equation 4 x − y = 5 and solve for y . This results in y = − 5 , making the ordered pair (0, -5) the solution. Thus, the missing coordinate is − 5 .
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Answered by Anonymous | 2025-07-28