Answer: (0, -5) and (3, 4)
Step-by-step explanation:
y = 3x - 5
x² + y² = 25
Use substitution method. Replace "y" with "3x - 5" into the second equation and solve for "x".
x² + (3x - 5)² = 25
x² + 9x² - 30x + 25 = 25
10x² - 30x + 25 = 25
10x² - 30x = 0
10x(x - 3) = 0
10x = 0 and x - 3 = 0
x = 0 and x = 3
Next, replace "x" with "0" into the first equation to solve for "y". Repeat using x = 3:
y = 3(0) - 5 and y = 3(3) - 5
= 0 - 5 = 9 - 5
= -5 and = 4
when x = 0, y = -5 and when x = 3, y = 4
