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alekssr [168]
3 years ago
9

2a - 3b = -11 a + 3b = 8

Mathematics
1 answer:
dlinn [17]3 years ago
8 0

Answer:

b = 3 and a = -1

Step-by-step explanation:

You have your given equation:

2a - 3b = -11

a + 3b = 8

You need to find what a and b is.

To find b:

2a - 3b = -11

-2a - 6b = -16

I multiplied a + 3b = 8 by -2. When you multiply a number you have to multiply all of them. You have to choose a number that would cancel out all of a.

So now your equation would look like this when you solve for b:

2a - 3b = -11

-2a - 6b = -16

-------------------

a - 9 = -27 then you divide -9 to -27 which is 3 so b = 3.

To find a:

2a - 3b = -11

a + 3b = 8

I multiplied a + 3b = 8 by -1 and 2a - 3b = -11 by -1 as well.

Your equation will look like this when you solve for a:

-2a + 3b = 11

-1a - 3b = -8

------------------

-3a = 3 then divide -3 to 3 which is -1 so a = -1.

Check to see if you have the correct answer by plugging in the number you got for a and b into the equation and solve.

1. 2(-1) -3(3) = -11

 -2 - 9 = -11

2. -1 + 3(3) = 8

   -1 + 9 = 8

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Answer:

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Step-by-step explanation:

6.     9 + (12 - 10)

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        20 - 15 = 5

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The sum of 3 fifthteens and 4 twos
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Step-by-step explanation:

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Using a common denominator to write an equivalent fraction for each fraction what would 1/3, 1/5, common denominator be?
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3 years ago
Need help with math question
lyudmila [28]

Answer:

7 18-inch wreaths

26 22-inch wreaths

Step-by-step explanation:

Let's say the number of 18-inch wreaths is x and the number of 22-inch wreaths is y.

We know that the number of 22-inch wreaths sold was 5 more than 3 times the number of 18-inch wreaths sold. We can write this into the expression as:

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We also know that each 18-inch wreath was $20 and each 22-inch wreath was $25. The total cost was $790, so:

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Now, let's substitute 5 + 3x in for y in the second equation:

20x + 25y = 790

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Plug this value into y = 5 + 3x to find y:

y = 5 + 3x

y = 5 + 3 * 7 = 5 + 21 = 26

So, 7 18-inch wreaths were sold and 26 22-inch wreaths were sold.

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