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Maslowich
3 years ago
12

How do I substitute this?

Mathematics
1 answer:
Lemur [1.5K]3 years ago
7 0

You want to isolate one of the variables (x or y) so you can plug it into the other equation. The easiest one is isolating the 2nd equation.

3x² - 16x + 13 - y = 0   Add y on both sides

3x² - 16x + 13 = y

You can use this and plug it into the first equation

y - 12x + 15 = 3x²

(3x² - 16x + 13) - 12x + 15 = 3x²

3x² - 16x + 13 - 12x + 15 = 3x²  Combine like terms

3x² - 28x + 28 = 3x²  Subtract 3x² on both sides

-28x + 28 = 0  Add 28x on both sides

28 = 28x Divide 28 on both sides

1 = x

Now that you know x, you can plug it into either of the equation to find y

3(1)² - 16(1) + 13 - y = 0

3 - 16 + 13 - y = 0

-y = 0 Divide -1 on both sides

y = 0


x = 1, y = 0

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A baker uses 131 2 cups of flour to make key lime bread. She uses 21 4 cups of flour to make each loaf. The baker sells 2 3 of t
elena-14-01-66 [18.8K]

Answer:

She sells 4 loaves of key lime bread

Step-by-step explanation:

Extracting the key information from the question:

*** A baker uses 13 1/2 cups of flour to make key lime bread

*** She uses 2 1/4 cups to make each loaf.

*** She sells 2/3 of the loaves of bread that she makes.

Now, since she uses 2 1/4 to make each loaf, we will convert this into improper fraction.

2 1/4 = [(4×2)+1]/4 = 9/4

She uses a total of 13 1/2 cups of flour to make all loaves.

To find the number of loaves she makes, we will divide the overall quantity of flour used by the quantity used to make a loaf

13 1/2 ÷ 2 1/4

Since 13 1/2 and 2 1/4 are the same as 27/2 and 9/4 respectively (mixed to improper fractions), we will then divide 27/2 by 9/4

= 27/2 × 4/9 = 6 loaves (total bread she makes).

Again, we learnt she sells 2/3 of the total loaves she makes.

Since total = 6, then 2/3 of 6 is:

2/3 × 6 = 4 loaves .

Therefore, the baker sells 4 loaves of key lime bread.

5 0
3 years ago
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Simplify the radical completely.
AlladinOne [14]

Answer:

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Step-by-step explanation:

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about 9 right handed gloves were sold, and about 3 left-handed gloves were sold.

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Step-by-step explanation:

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Hope this helps you

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<h2>Answer :</h2>

Let the number be x. Then according to the question,

Step 1 :- Adding 3

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Step 2 :- Multiply the sum by 2

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Step 3 :- Subtract 6

=> 2(x +3) - 6

<h3>Thus the expression becomes 2(x +3) - 6. </h3>
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