Final answer:
To find a solution to an equation in the form of an ordered pair (x, y), substitute a known value for one variable and solve for the other, using an appropriate linear equation such as y = a + bx, where 'a' is the y-intercept and 'b' is the slope.
Step-by-step explanation:
To find an ordered pair (x, y) that is a solution to a given equation, one can follow these steps:
- Identify the known values in the equation which could be the values for x or y.
- Identify the unknown, which is the value you need to solve for, this can be either v in terms of c, or some other variable depending on the context.
- Choose the appropriate equation to use. Often, this is an equation of the form y = a + bx, where a is the y-intercept and b is the slope.
Substitute the known value(s) into the equation. For example, if y is known, then substitute that into the equation and solve for x, or vice versa.
Solve the equation to find the value of the unknown variable.
Check that the solution makes sense and is in the context of the problem given.
In the context of linear equations like y = mx + b, you typically choose a value to substitute for the independent variable (x) and solve for the dependent variable (y).