Verified Answer :

HomertheGenius

y - 10 = 11 x + x²
y - 12x = 30
____________
y = 12 x + 30
12 x + 30 - 10 = 11 x + x²
x² - x - 20 = 0
x (12) = 1+/- √ (1 + 80 ) /2
x 1 = (1 - 9) / 2 = -4
x 2 = ( 1 + 9 ) /2
x 2 = 5
y 2 = 30 + 12 · 2 = 30 + 60 = 90
The second solution is:
( 5, 90 ).  

abidemiokin

System of equation is the equation that contains several equations and unknown. The second solution is (5, 90)

Solving system of equation

System of equation is the equation that contains several equations and unknown.

Given the system of equation

y – 10 = 11x + x²

y – 12x = 30

From equation 2:

y = 30 + 12x

Substitute

30 + 12x – 10 = 11x + x²

12x + 20 = 11x + x²

x² -x - 20 = 0
x² - 5x + 4x - 20= 0
x(x-5) + 4(x - 5) = 0
x = -4 and 5

If x = -4

y = 30 + 12(-4)

y = -18

If x = 5

y = 30 + 12(5)

y = 90

Hence the second solution is (5, 90)

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