The sum of two integers is 7, and the sum of their squares is 25. What is the product of these two integers?

x = 4, y = 3

x = 3, y = 4

Step-by-step explanation:

Set equation 2 equal to x or y

y = 7 - x

Sub in place of y in equation 1

x

2 + (7 – x)

2 = 25

x

2 + (7 – x)(7 – x)= 25

Set equal to zero

Expand Brackets and simplify

x

2 + 49 - 14x + x2 = 25

2x2

- 14x + 49 = 25

2x2

- 14x + 24 = 0

Factorise and remove a factor first if

possible!

x

2

- 7x + 12 = 0

(x – 4)(x – 3)= 0

x = 4 and x = 3

Sub values of x into ‘y = 7 – x’

x = 4, y = 3

x = 3, y = 4

please mark as brainlist

this doesn't make sense lol