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alexdok [17]
3 years ago
14

Solve the system of equations 3x+4y=10 3x-4y=20

Mathematics
2 answers:
Vesnalui [34]3 years ago
6 0

Answer:

x = 5

y = -1.25

Step-by-step explanation:

3x+4y=10

3x-4y=20

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

6x=30

x=5

3(5)-4y=20

15-4y=20

-4y=5

y=-1.25

WINSTONCH [101]3 years ago
3 0

Answer:

(5, -5/4)

Step-by-step explanation:

3x+4y=10  

3x-4y=20

Add the two equations together to eliminate y

3x+4y=10  

3x-4y=20

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

6x = 30

Divide by 6

6x/6 = 30/x

x = 5

Now we need to find y

3x+4y =10

3(5) +4y = 10

15 +4y = 10

Subtract 15 from each side

15-15 +4y = 10-15

4y = -5

Divide by 4

4y/4 = -5/4

y = -5/4

(5, -5/4)

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lyudmila [28]
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6 0
4 years ago
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Gracie is sharing 75 marshminnows among 4 of her friends. If each of her friends gets
sukhopar [10]

Given:

Gracie is sharing 75 marshminnows among 4 of her friends.

Each of her friends gets  the same number of marshminnows, and she gives them as many marshminnows as possible.

To find:

The remaining number of marshminnows she has.

Solution:

We have,

Total number of marshminnows = 75

Number of friends = 4

Divide 75 by 4.

4|\overline{75}|{18}\\                -4\\\text{\quad }\overline {35}  \\ -32\\\text{\quad }\overline {\ 3\qaud }

Here, quotient is 18 and remainder is 3. It means, each friend can be get maximum 18 marshminnows and the number of remaining marshminnows is 3.

Therefore, the correct option is B.

7 0
4 years ago
A set of speakers costs $22 and songs cost $1.25 each. The sales tax rate is 7.5%. The expression 0.075(22 + 1.25s) can be used
kykrilka [37]

Answer:

1.65 + 0.09s

Step-by-step explanation:

Given that :

Cost of speaker = $22

Cost per song = $1.25

Sales tax rate = 7.5%

Expression to obtain the amount of sales tax on entire purchase : 0.075(22 + 1.25s)

Expanding the expression :

0.075(22 + 1.25s)

(0.075 * 22) + (0.075 * 1.25s)

1.65 + 0.09375s

Rounding to the nearest hundredth :

Sales tax on entire purchase :

1.65 + 0.09s

4 0
3 years ago
6y+9=3(2y+3) what is the answer
mario62 [17]
What are we solving for? Is there a question that goes along with it or any multiple choice answers?
8 0
4 years ago
Show 5x12 usin g the distributive property
gtnhenbr [62]
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5 0
3 years ago
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