Question

Q.1) Solve this linear equation in two variables
$x + y = 12$
and
$2x + {2y}^{2} = 60$​

Answer 1

Explanation:

x + y= 12

x= 12 - y ---- i

2x2 + 2y2 =60 ----- ii

substituting i in ii

2(12 - y) + 2y2 = 60

24 - 2y + 2y2 =60

-36 -2y + 2y2=0

forming a quadratic equation

2y2 - 2y -36=0

here, product= -72 and sum=-2

split the middle term

get the value of y and substitute in eqn i