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Ugo [173]
3 years ago
14

What is the first step in solving this system of equations by elimination? 5a + 3b = –9 2a – 5b = –16

Mathematics
1 answer:
Elis [28]3 years ago
5 0
<span>Multiply one of the equations so that both equations share a common complementary coefficient.
       In order to solve using the elimination method, you need to have a matching coefficient that will cancel out a variable when you add the equations together. For the 2 equations given, you have a huge number of choices. I'll just mention a few of them.
   You can multiply the 1st equation by -2/5 to allow cancelling the a term.
   You can multiply the 1st equation by 5/3 to allow cancelling the b term.
   You can multiply the 2nd equation by -2.5 to allow cancelling the a term. You can multiply the 2nd equation by 3/5 to allow cancelling the b term.
   You can even multiply both equations.
For instance, multiply the 1st equation by 5 and the second by 3. And in fact, let's do that. 5a + 3b = –9 2a – 5b = –16 5*(5a + 3b = -9) = 25a + 15b = -45
   3*(2a - 5b = -16) = 6a - 15b = -48
       Then add the equations 25a + 15b = -45
   6a - 15b = -48
   =
   31a = -93
   a = -3
       And then plug in the discovered value of a into one of the original equations and solve for b.</span>
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Joe needs to buy supplies for a birthday party. At the store, balloons cost $0.50 each and party hats each cost $1.25. If Joe wa
VladimirAG [237]

Answer:

0.50b+1.25h=20

Step-by-step explanation:

Let b be the number of balloons and h be number of party hats.

We have been given that balloons cost $0.50 each, so cost of b balloons will be 0.50b.

We are also told that party hats each cost $1.25, so cost of h party hats will be 1.25h.

Further, Joe wants to spend exactly $20 on the party supplies. We can represent this information in an equation as:

0.50b+1.25h=20

Therefore, the equation 0.50b+1.25h=20 represents the number of balloons ( b) and the number of party hats ( h) that Joe can buy spending exactly $20.

5 0
3 years ago
15 is what percent of<br> 600?<br> Pls show work
chubhunter [2.5K]

Answer:

90

Step-by-step explanation:

600(.15) = 90

8 0
2 years ago
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Solve for r please 80=10r.
OLEGan [10]
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4 0
3 years ago
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Evaluate 1.80/Y for y= 0.009 express your answer is in simplest form.
igomit [66]

Evaluate 1.80/Y for y= 0.009

We replace 0.009 for y

So fraction becomes \frac{1.80}{0.009}

Now , to simplify the fraction we try to remove the decimal from denominator

0.009 have three digits after the decimal point, so we multiply by 1000 to remove the decimal point. Multiply top and bottom by 1000 to make equivalent fraction.

\frac{1.80*1000}{0.009*1000}

\frac{1800}{9} = 200

Answer is 200

3 0
3 years ago
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