Answer:
See explanations below
Step-by-step explanation:
Given the system of equation
2x - 10 y = -30 ... 1
x - 5y = 20 ... 2
Step: From 2;
x = 20 + 5y ...3
Step 2: Substitute equation 3 into 1
2x - 10y = -30
2(5y+20) - 10y = -30
Open the bracket
10y + 40 - 10y = -30
10y - 10y + 40 = -30
0+40 = -30
40 = -30
The steps taken by Teri are correct all through. He didn't make any error whatsoever
The area of the David's pantry = 10 square feet.
The length of the pantry = 5 feet.
<h3>Define the term area of the rectangle?</h3>
- The territory inhabited by a rectangle inside its 4 sides or limits is known as its area.
- The area of such a rectangle is determined by its sides. Essentially, the formula calculating area is equivalent to the product of the rectangle's length and breadth.
For the given question.
- David's kitchen is 60 square feet in size.
- The kitchen is six times the size of the living room.
Thus,
Area of kitchen = 6 x area of the pantry
60 = 6 x area of the pantry
area of the pantry = 60 / 6 = 10 square feet.
Area of the pantry = length x breadth
10 = length x 2
length = 10/2 = 5 feet.
Thus, the length of the pantry is found as the 5 feet.
To know more about the area of the rectangle, here
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Answer:(x+2)(x−2)
Step-by-step explanation:Since both terms are perfect squares, factor using the difference of squares formula