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abruzzese [7]
3 years ago
10

Write and solve a system of equations to find the value of each variable

Mathematics
1 answer:
ozzi3 years ago
3 0

Answer:

Step-by-step explanation:

2x+5y=12

3x+4y=11

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

3(2x+5y)=3(12)

-2(3x+4y)=-2(11)

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

6x+15y=36

-6x-8y=-22

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

7y=14

y=14/7=2

2x+5(2)=12

2x+10=12

2x=12-10=2

x=2/2=1

x=1, y=2. (1, 2)

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

I just provided you an example of a system of equations and I already solved it for you.

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PLZ help picture included
cupoosta [38]

Answer:

4 miles

Step-by-step explanation:

Let

x ----> the time to returned back biking in hours

d ---> the distance in miles

s ---> speed in miles per hour

Remember that

The speed or rate is equal to divide the distance by the time

s=\frac{d}{t}

The distance is equal to multiply the speed by the time

d=st

we know that

18\ min=\frac{18}{60}\ hours

The distance to his friend's house and the distance of return is the same

so

10x=4(x+\frac{18}{60})

solve for x

10x=4x+\frac{18}{15}

subtract 4x both sides

10x-4x=\frac{18}{15}

6x=\frac{18}{15}

x=\frac{1}{5}\ hours

The total distance of the round trip is

y=10x+4x+\frac{18}{15}

substitute the value of x

y=10(\frac{1}{5})+4(\frac{1}{5})+\frac{18}{15}

y=2+2=4\ miles

6 0
3 years ago
If x=1/2y, which expression represents 1/x?<br><br> 1/2y<br><br> 2y<br><br> -1/2y<br><br> -2y
icang [17]
X=1/2y
so 1/x=2y  simple
7 0
2 years ago
Find the domain and range?
Nostrana [21]
What do u want to find the domain and range of?
7 0
3 years ago
The store is selling lemons at $0.58 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough l
avanturin [10]

Answer:

$4.64

Step-by-step explanation:

1 cup = 16 tablespoons

\frac{1}{2} cup = 8 tablespoons

Each lemon yields about 2 tablespoons of juice. You need 8 tablespoons for one lemon pie, so you need 8\div 2=4 lemons for one pie and 4\times 2=8 lemons for two pies.

The store is selling lemons at $0.58 each, hence, 8 lemons will cost

\$0.58\times 8=\$4.64

3 0
3 years ago
911÷406 con operaciones​
marin [14]

Answer:

2.24384236453

Step-by-step explanation:

division/división

8 0
2 years ago
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