Answer:
-2x+2y+3z=0
-2x-y+z=-3
2x+3y+3z=5
---------------
-2x+2y+3z=0
-2x-y+z=-3
---------------- Subtract
3y + 2z = 3 Eqn A
=========================
-2x-y+z=-3
2x+3y+3z=5
---------------- Add
2y + 4z = 2
6y + 4z = 6 Eqn A times 2
------------------------------------ Subtract
-4y = -4
y = 1
-----------------
z = 0
-------------------
x = 1
Answer:
2x(x+y)(x-y)
Step-by-step explanation:
Given the expression;
(x+y)² + 2(x+ y)(x- y) + (x– y)²
Factorize
(x+y)² + (x+ y)(x- y) + (x+ y)(x- y) + (x– y)²
= (x+y)[x+y+(x-y)] +(x-y)[(x+y)+(x-y)]
= (x+y)(x-y)(x+y+(x-y))
= (x+y)(x-y)(x+y+x-y)
= (x+y)(x-y)(2x)
hence the expanded form is 2x(x+y)(x-y)
Answer:
76
Step-by-step explanation:
Let number of pages=x
60% of x=114
x=114×100/60=190
pages left=190-114=76
Answer: Length is 16 ft. Width is 5 feet.
Step-by-step explanation: Take the information given and write an equation. "Length decreased by 3 is 1" becomes L - 3w = 1 .
"Solve" for L. L= 3w +1
Write another equation for the formula of a perimeter. P=2L + 2w.
Substitute the values for L (from the first "solution" you wrote) and P (42 ft, given).
42 = 2(3w +1) + 2w. Solve this.
42= 6w +2 + 2w
42= 8w +2. Subtract 2 from both sides then divide both sides by 8.
W = 5
Substitute that into the first equation you wrote to get the Length.
L - 3(5) = 1
L -15 = 1. L = 1+15
L = 16