Question

Challenge!
What value of a and b will make the given statement true?
(ay? + 3xy - 9x) - (-4y2 + 8xy+bx+) = 10y? - 5xy - 10x​

Answer 1

Answer:

we are given

(ay^2 + 3xy -9x^2) - (-4y^2+8xy +bx^2) = 10y^2 -5xy -10x^2 \\\\ay^2 + 3xy - 9x^2 + 4y^2 -8xy -bx^2 = 10 y^2 -5xy -10x^2

Group like terms together, we have(a+4)y^2 -5xy -(9+b)x^2 = 10y^2 -5xy -10x^2

Equating the like terms on both sides of the equation, we have

a+4 =10 gives

a=6

similarly 9+b = 10

gives b=1

a=6 ; b=1