Answer:
Step-by-step explanation:
The two equation given which are in two variables are
1. y = x²-2 x -1 9
2. y + 4 x=5
Writing equation 2 as→y = 5 -4 x
Substituting the value of y in equation 1
⇒ 5 - 4 x = x² - 2 x - 19
⇒x² - 2 x + 4 x -19 -5=0
⇒ x² + 2 x -24=0
⇒x² + 6 x - 4 x - 24=0→→→[Breaking the middle term i.e term containing x]
⇒ x(x+6) -4(x+6)=0
⇒(x-4)(x+6)=0
⇒x-4=0 ∧ x+6=0
⇒x = 4 ∧ x= -6
Put x=4 in equation 2,
y + 4 ×4=5
y + 16=5
y = 5-16
y= -11
As one solution is (-6, 29), The other solution of the system of equation is (4, -11).
