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lara [203]
4 years ago
6

What is the x-value of the solution of the system of

Mathematics
1 answer:
Nady [450]4 years ago
8 0

Answer:

x = -1, y = -4

Step-by-step explanation:

Let's solve our system of equations by substitution.

y = 5x + 9y = −x + 3

Step: Solve = 5x + 9 for y:

y = 5x + 9

Step: Substitute 5x + 9 for y in y = −x + 3:

y = −x + 3

5x + 9 = −x + 3

5x + 9 + x = −x + 3 + x (Add x to both sides)

6x + 9 = 3

6x + 9 + −9 = 3 + −9 (Add -9 to both sides)

6x = −6

6x/ 6 = −6/6(Divide both sides by 6)

x = −1

Step: Substitute −1 for x in y = 5x + 9:

y = 5x + 9

y = (5)(−1) + 9

y = 4(Simplify both sides of the equation)

So our answers are y = -4 and x = -1.

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A motorcycle that regularly sells for 1,450 was discounted by 40% off
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Answer:

$870.00 is the motorcycle price after a 40% discount

Step-by-step explanation:

discount = original price x discount % / 100

discount = 1450 x 40 / 100

discount = 1450 x 0.4

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Final Price = Original Price - Discount

Final Price = 1450 - 580

<u>Final Price = $870</u>

8 0
2 years ago
(y^4 – y^3 + 2y^2 + y – 1) ÷ (y^3 + 1)<br> DO NOT INCLUDE PARENTHESES IN YOUR ANSWER
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Use long division.

                                     y - 1
         -------------------------------
y³+1  | y⁴  - y³  + 2y²  + y  - 1
          y⁴                    + y
         -------------------------------
               - y³  + 2y²         - 1
               - y³                    - 1
              ---------------------------
                         2y²

Answer:  y - 1 + 2y2 ÷ y³+1

Note:  
The correct answer should be written with parenthesis, as y - 1 + y²/(y³+1) in order to avoid ambiguity. 
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