What are the solutions to the system? (Hint: graphing is the easiest!)

y = x2 + 2x - 45
y = -3x + 5

3 answers

well, it is hard for me to graph here so

eliminate y by subtracting the second equation from the first

x^2 + 5 x -50 = 0

(x-5)(x+10) = 0
so
x = 5 or x = -10
if x = 5, then y = -10
if x = -10 then y = 35
Next easiest is by comparison.

Solve the quadratic by factoring
-3x+5 = x² +2x -45
x²+5x-50=0
(x+10)(x-5)=0
x=5 or x=-10
Substitute x to find corresponding values of y.
thank you peeps