Explain how you find ordered-pair solutions of the equation 3x - 5y =15, and then find two such solutions.
Now really, find the easy ones, the intersections with x and y axes.
when x = 0 you get the y intercept, y = -3
so(0,-3)
when y = 0, you get the x intercept, x = 5
so
(5,0)
(3.5x10^-2)+(7.9x10^2) answer in standard from
To find ordered-pair solutions of the equation 3x - 5y = 15, we need to solve the equation by assigning values to x or y and finding the corresponding value of the other variable.
Step 1: Assign a value to x or y.
Let's assign a value to x arbitrarily. Suppose we choose x = 0.
Step 2: Find the corresponding value of the other variable.
Substitute the value of x into the equation 3x - 5y = 15:
3(0) - 5y = 15.
Simplifying this equation, we have:
-5y = 15.
Divide both sides of the equation by -5:
y = 15 / -5.
y = -3.
So, the first ordered-pair solution is (x, y) = (0, -3).
Step 3: Find another ordered-pair solution.
To find another ordered-pair solution, repeat steps 1 and 2 with a different value for x.
Let's assign x = 3.
Substitute x = 3 into the equation 3x - 5y = 15:
3(3) - 5y = 15.
9 - 5y = 15.
Subtract 9 from both sides of the equation to isolate -5y:
-5y = 15 - 9.
-5y = 6.
Divide both sides of the equation by -5:
y = 6 / -5.
Simplifying, we have:
y = -6/5.
So, the second ordered-pair solution is (x, y) = (3, -6/5).
In summary, two ordered-pair solutions of the equation 3x - 5y = 15 are (0, -3) and (3, -6/5).