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umka2103 [35]
3 years ago
15

For questions 5 and 6, solve the system using the Elimination method.

Mathematics
1 answer:
beks73 [17]3 years ago
3 0

Answer:

\boxed{x = 7~~and~~y = -3}

.

Step-by-step explanation:

5x + 3y = 26 (times 6) 30x + 18y = 156

6x + 7y = 21 (times 5) 30x + 35y = 105

.

30x + 18y = 156

<u>30x + 35y = 105 </u>  <u>  </u>

-17y = 51

y = \frac{51}{-17}

y = -3

.

Substitute the value of y to one of equations

6x + 7y = 21

6x + 7(-3) = 21

6x - 21 = 21

6x = 21 + 21

6x = 42

x = \frac{42}{6}

x = 7

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What is .07 times 1.22
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7 0
3 years ago
I have 31 stamps in total. I have 4 more 1 cent stamps than 8 cent stamps and twice as many one cent stamps as 12 cent stamps. I
Neko [114]

Answer:

There area 14 one cent stamps

Step-by-step explanation:

Let

x -----> the number of 1 cent stamps

y -----> the number of 8 cent stamps

z -----> the number of 12 cent stamps

we know that

0.01x+0.08y+0.12z=1.78 -------> equation A

x=y+4 ------> y=x-4 -----> equation B

x=2z -----> z=0.5x ------> equation C

substitute equation B and equation C in equation A and solve for x

0.01x+0.08(x-4)+0.12(0.5x)=1.78

0.01x+0.08x-0.32+0.06x=1.78

0.15x=1.78 +0.32

0.15x=2.10

x=14

therefore

There area 14 one cent stamps

6 0
3 years ago
A machine produces 374 bolts in 33 minutes. At the same rate, how many minutes would it take to produce 272 bolts?
lesya [120]
374 = 33
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374/33 = 272/x

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4 0
3 years ago
Read 2 more answers
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median= 173.2
mode= N/A
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3 years ago
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