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amid [387]
2 years ago
12

What is the solution to this system of equations? 2x + 4y = 22 7x + y = 12

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
4 0

Answer:

x=1 and y=5

Step-by-step explanation:

simultaneous equations: substitution method

2x+4y=22----equation 1

7x+y=12---equation 2

from equation 2 make y the subject

y=12-7x----equation 3

substitute y into equation 1 to find x

2x+4(12-7x)=22

2x+48-28x=22

collect like terms

2x-28x=22-48

-26x=-26

divide by -26

-26x/-26=-26/-26

x=1

substitute x=1 into equation 3

y=12-7(1)

y=12-7

y=5

therefore, x=1 and y=5

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12. Between what two numbers would 9 be located on a number line?
lozanna [386]

Answer:

B

Step-by-step explanation:

1,2,3,4,5,6,7,than 8,9,10

5 0
3 years ago
Read 2 more answers
Colton earns $35 per lawn he mows. In kne day he mows four lawns and he works five days a week for 20 weeks a year. His expenses
yanalaym [24]

Answer:

1) Consider that he makes $1189 every two weeks engaged with work

2) An estimate of the opportunity cost of going on the fishing trip is $1450 in two weeks

3). If he decides to buy the truck, he has to work for about 7 weeks before going on the fishing trip

Step-by-step explanation:

From the given data

Total revenue from lawn mowing per year = 35 × 4× 5×20 = $1400

Similarly total operating costs = $2110

Total profit per annum = $11890

However total revenue per every 2 weeks = $1189

To buy the truck, sell his and go on the fishing trip it will cost = 5200-1500+250 =$3950 hence he has to work for about 6.64 or approximately 7 weeks before going on the fishing trip

2) Opportunity cost will factor in the cost of having someone work for him while away

The cost is = $250 + $120/day

Hence in two weeks it will cost him $1450

3) He has to work for about 7 weeks to be able to afford the truck

7 0
2 years ago
Solve A = 77/2 for r.
shtirl [24]

Answer:

77/2 is 38.5 if that is what u were asking

Step-by-step explanation:

4 0
3 years ago
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16,055 is divided by 16?
serious [3.7K]

Your answer will be 1,000.3125

hope i helped!! :)

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3 years ago
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I really need help, fast. Please?
torisob [31]

The slope of the line as shown in the graph attached is 7/3

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be independent or dependent. A dependent variable depends on other variable while an independent variable does not depend on other variable.

A linear equation is in the form:

y = mx + b

Where m is the rate of change (slope) and b is the y intercept.

The slope of a line = vertical rise / horizontal run

From the image:

Slope = rise / run = 7/3

Find out more on equation at: brainly.com/question/2972832

#SPJ1

3 0
1 year ago
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