Step-by-step explanation:
here,
x^2 -3xy-18xy^2
=x^2-(6-3)xy-18xy^2
=x^2-6xy+3xy-18y^2
=x(x-6y)+3y(x-6y)
=(x-6y)(x-3y)
$16 per month can be changed to 16m where m represents months.
The $2 per Pilates class can be 2p where p represents Pilates classes.
An equation of y = 16m + 2p can be set up, where y represents how much McKenna is charged total for gym membership ($52)
52 = 16m + 2p
We know that McKenna attended 12 Pilates classes, and we also know that McKenna attended 1 month, so we plug this in:
52 = 16(1) + 2(12) (simplify)
52 = 16 + 24 (add 24)
52 = 40
Since this is not equal, $52 is not the correct amount to be charged.
Let x = the unknown number to get x = 6
2x + 2y + 1z = -5 ⇒ 2x + 2y + 1z = -5 ⇒ 4x + 4y + 2z = -10
3x + 4y + 2z = 0 ⇒ 3x + 4y + 2z = 0 ⇒ 3x + 4y + 2z = 0
1x + 3y + 2z = 1 x = -10
2x + 2y + 1z = -5
3x + 4y + 2z = 0 ⇒ 3x + 4y + 2z = 0
1x + 3y + 2z = 1 ⇒ 1x + 3y + 2z = 1
2x + y = -1
2x + y = -1
2(-10) + y = -1
-20 + y = -1
+ 20 + 20
y = 19
2x + 2y + z = -5
2(-10) + 2(19) + z = -5
-20 + 38 + z = -5
18 + z = -5
- 18 - 18
z = -23
(x, y, z) = (-10, 19, -23)
