Question

Y=x^2-2x-19
y+4x=5

solution set system of equation is (-6,29) and ______.

Answer 1

hello :
Y=x²-2x-19 ...(1)
y+4x=5.....(2)
by (2) : y = 5-4x ....(*)
subsct in (1) : 5-4x=x²-2x-19
x²+2x-24 =0
Δ = 2²-4(1)(-24) = 100=10²
x1 = (-2-10)/2 =-6
x2= (-2+10)/2=4
if : x =-6 by(*) : y= 5-4(-6)=29
if x= 4 y = 5-4(4)=-11
solution set system of equation is (-6,29) and (4,-11)______.