Answer:
The smallest value of y in the given two equations is 78
Step-by-step explanation:
Given as :
The two equation is given as :
y = x² + 6 x +23 ...........1
y = 18 x - 12. ..........2
Now, solving both equations
putting the value of y from eq 2 into eq 1
So, x² + 6 x +23 = 18 x - 12
Or, x² + 6 x +23 - 18 x + 12 = 0
Or, x² - 12 x + 35 = 0
Or, x² - 5 x - 7 x + 35 = 0
Or, x (x - 5) - 7(x - 5) = 0
Or, (x - 5) (x - 7) = 0
∴ x = 5 , 7
Now, for smallest value of y , take x = 5
∴ put the value of x in eq 2
So, y = 18 x - 12
I.e y = 18 × 5 - 12
Or, y = 90 - 12
∴ y = 78
Hence, The smallest value of y in the given two equations is 78 . answer
