Part A : Substitution
Elimination
Argumentated matrices.
Part B :
1. Substitution is a method of solving systems of equations by removing all but one of the variables in one of the equations and then solving that equation. This is achieved by isolating the other variable in an equation and then substituting values for these variables in other another equation.
2. Elimination is another way to solve systems of equations by rewriting one of the equations in terms of only one variable. The elimination method achieves this by adding or subtracting equations from each other in order to cancel out one of the variables.
3. Augmented matrices can also be used to solve systems of equations. The augmented matrix consists of rows for each equation, columns for each variable, and an augmented column that contains the constant term on the other side of the equation.
Part C :
7x +y = 14
5x + y = 4
X= 5 and y = - 21
Hope this Helps : )
94r8it the answer can I please have brainelist
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Answer:
(c) $72
Step-by-step explanation:
Each tile is 8/12 ft = 2/3 ft on a side. Then 8/(2/3) = 12 tiles will fit along each edge of the square area to be tiled. That is ...
12 × 12 = 144
tiles will be needed to cover the area.
The cost of 144 tiles at $0.50 each is ...
(144)($0.50) = $72.00
The only error you made is on problem 3. Everything else is correct. Nice work.
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Here is how to solve problem 3
Plug x = 1 into the equation and solve for y
-3x + y = 1
-3*1 + y = 1 ... replace x with 1
-3 + y = 1
y - 3 = 1
y - 3 + 3 = 1 + 3 .... add 3 to both sides
y = 4
<h3>The answer is 4</h3>
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Verifying the answer:
Plug (x,y) = (1,4) into the equation. Both sides should be the same number after simplifying both sides.
-3x + y = 1
-3*1 + 4 = 1 ..... replace x with 1; replace y with 4
-3 + 4 = 1
1 = 1
The answer is confirmed.
If you were to graph -3x + y = 1, which is equivalent to y = 3x+1, you'll find that the point (1,4) is on this line.
Answer:
B. 24d + 4; $76
Step-by-step explanation:
Part 1: If the online store charges $24 per DVD, this is the same as saying "24 multiplied by the number of DVDs bought".
It's given that "d" represents the number of DVDs
- So the first part of the variable expression is: 24d
If the online store also charges an additional $4 per <em>order,</em> that means that it's only $4 extra for the whole order. NOT per DVD you buy.
Part 2: If someone were to buy 3 DVDs, that would mean that d = 3.
To find the total cost, substitute 3 for d into the expression.
- 24d + 4
- 24(3) + 4
- 72 + 4 = 76
- Result: $76
