Which ordered pairs in the form (x, y) are solutions to the equation
7x−5y=28?
To find the ordered pairs (x, y) that are solutions to the equation 7x - 5y = 28, you can use a method called substitution. Here's how you can solve it step-by-step:
Step 1: Choose a value for x or y, and substitute it into the equation.
Let's choose x = 0 and substitute it into the equation:
7(0) - 5y = 28
Simplifying, we get:
-5y = 28
Step 2: Solve the equation for the chosen variable.
Divide both sides of the equation by -5:
-5y/ -5 = 28/ -5
Simplifying further, we get:
y = -5.6
So, one part of the ordered pair is y = -5.6.
Step 3: Substitute the value of y back into the original equation and solve for the other variable.
Now, substitute y = -5.6 back into the original equation:
7x - 5(-5.6) = 28
Simplifying, we get:
7x + 28 = 28
Subtract 28 from both sides of the equation:
7x = 0
Divide both sides by 7:
x = 0
So, the other part of the ordered pair is x = 0.
Therefore, the solution to the equation 7x - 5y = 28 is the ordered pair (0, -5.6).