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cupoosta [38]
3 years ago
5

What is the answer to 5x + 3y =31 and 2x+3y= 25 using elimination method

Mathematics
1 answer:
Anna11 [10]3 years ago
4 0
<span>5x + 3y =31
2x + 3y= 25
--------------------subtract
3x = 6
x = 2

</span>5x + 3y =31 
5(2) + 3y =31 
<span>3y = 21
y = 7

answer
solution (2,7)

</span>
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Arte-miy333 [17]
Combine like terms the variables first. 4b-15b=-11b
-7+3=-4
-11b-4
7 0
3 years ago
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EXPRESS in power notation
lora16 [44]

Answer:

Solution given:

1:

-1/8=\frac{-1³}{2³}=(\frac{-1³}{2³}=-1³*2^{-3}=-2^{-3}

2. -64/27

=\frac{-4^{3}}{3³}=\frac{-4³}{3³}=(\frac{-4}{3})^{3}

Express in rational number

1. (-3/2)=-3/2*2/2=-(3*2)*(2/2)=-6/4

2. (1/5)=1/5*5/5=<u>5/25</u>

and

(-4/3)³(2/5)-⁴ ÷ (7/4)

(-4³/3³)(2-⁴/5-⁴)÷7/4

(-64/27)(5⁴/2⁴)÷7/4

(-64/27)(625/16)÷7/4

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7 0
3 years ago
2. The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers aj set up the variables (2
storchak [24]

Answer:

Larger number = 34

Smaller number = 17

Step-by-step explanation:

Given that:

Sum of numbers = 51

Let,

x be the larger number

y be the smaller number

According to given statement;

x+y=51       Eqn 1

x = 2y        Eqn 2

Putting x=2y in Eqn 1

2y+y=51

3y=51

Dividing both sides by 3

\frac{3y}{3}=\frac{51}{3}\\y=17

Putting y=17 in Eqn 2

x=2(17)

x=34

Hence,

Larger number = 34

Smaller number = 17

7 0
3 years ago
Henry had 20 convertibles and 5 trucks in his miniature car collection. After Henry's aunt bought him some more miniature trucks
saw5 [17]

Answer:

Her aunt buy <u>75</u> trucks.

Step-by-step explanation:

Given:

Henry had 20 convertibles and 5 trucks in his miniature car collection. After Henry's aunt bought him some more miniature trucks, Henry noticed that a fifth of his collection were convertible.

Now, to find the trucks her aunt buy.

Let the total collection of Henry be x.

<em>Number of trucks Henry had in his collection = 5.</em>

<em>Number of convertibles Henry had in his collection = 20.</em>

As, Henry's \frac{1}{5} collection were convertible.

Now, to get the total number of collection:

\frac{1}{5}\ of\ x=20.

\frac{1}{5} \times x=20

<em>Multiplying both sides by 20 we get:</em>

x=100.

<em>Total collection of Henry = 100.</em>

So, the total number of trucks he had in his collection is:

<u><em>Total collection of Henry - number of convertibles Henry had in his collection.</em></u>

=100-20

=80.

<em>Hence, Henry had total 80 trucks in his collection.</em>

<em>And 5 trucks he had already in his miniature car collection.</em>

Now, to get the number of trucks her aunt buy we subtract trucks he had already in his miniature car collection from the total number of trucks in Henry's collection:

<u><em>Total number of trucks in Henry's collection - Number of trucks already in his miniature car collection.</em></u>

=80-5

=75.

Therefore, her aunt buy 75 trucks.

8 0
3 years ago
A store is having a sale where customers can buy one shirt and get a second shirt for 30% off. Hate wants to buy two shirts pric
Oksi-84 [34.3K]

Answer:

$32.30

Step-by-step explanation:

19x.30 (to find the 30%)

5.7 needs to be take off of the second shirt.

19 (the first shirt) + (19-5.7) = $32.3

6 0
3 years ago
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