Question

There are two numbers with the following properties.
1) The second number is 3 more than the first number.
2) The product of the two numbers is 9 more than their sum.
Which of the following represents possible values of these two numbers?
A) -6,-3
B) -4,-1
C) -1,4
D) -3,6

Answer 1

please help:)

Answer 2

A or B

Answer 3

Its B

Answer 4

explain please

Answer 5

Yep. B. -4 plus 3 is -1. And -4 times -1 is 4, which is nine more than (-4)+(-1) which is -5.

Answer 6

@bandicoot12

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Answer 7

call the first number x and the second number y

so first statement: The second number is 3 more than the first number.
so it is y = 3 + x

2nd statement: The product of the two numbers is 9 more than their sum.
so it is xy = 9 + x + y
so just solve for one variable buy substiting in y

x(3+x) = 9 + x + 3 + x
3x + x^2 = 12 + 2x
x + x^2 - 12 = 0
factor this and get
(x+4)(x-3) = 0
so x is either -4 or 3
substitute in
y = -4 + 3 = -1
and y = 3 + 3 = 6

so your possible solutions are (-4, -1) or (3,6)
so its B