Answer:
(0, -5)
Explanation:
To solve the system of equations:
y = 3x - 5 (1)
2x - 5y = 25 (2)
We can use the substitution method or the elimination method to find the values of x and y that satisfy both equations.
Let's use the substitution method:
Start with equation (1): y = 3x - 5
Substitute this expression for y into equation (2) wherever y appears:
2x - 5(3x - 5) = 25
Distribute the -5 to both terms inside the parentheses:
2x - 15x + 25 = 25
Combine like terms:
-13x + 25 = 25
Subtract 25 from both sides to isolate x:
-13x = 0
Divide both sides by -13 to solve for x:
x = 0
Now, we can substitute the value of x we found into equation (1) to find the value of y:
y = 3(0) - 5
y = -5
So the solution to the system of equations is x = 0 and y = -5. The ordered pair representing the solution is (0, -5).