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Arisa [49]
3 years ago
13

James collected 25 seashells.Mary collected 37 seashells Ashely collected 30 more than James.How many more seashells did ashley

have collect than Mary
Mathematics
1 answer:
Airida [17]3 years ago
4 0
James = 25
Mary = 37
Ashley = 25 + 30
Ashely = 55
55 - 37 = 18
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Look at the system of equations below.
Annette [7]

Answer:

Substitution and graphing are less efficient methods than elimination for this system as there is extra amount of steps we have to take to solve the same system of equations - hence time consuming and a margin or error may happen. Therefore, elimination is the suitable method for solving this system.

Step-by-step explanation:

Let us consider the system of equation below.

4x-5y=3

3x+5y=13

Elimination method sounds the most appropriate option to solve the given system of equations as we can easily sort out an equation in one variable x in minimal steps by just adding the both equations as the y-coefficient in the first equation is the opposite of the y-coefficient in the second equation, and we can determine an equation in one variable x.

Adding both equations will eliminate the y-variable and we can easily sort out the value of x from the resulting equation.

As the given system of equation

4x-5y=3......[1]

3x+5y=13......[2]

Adding Equation 1 and Equation 2

4x-5y+3x+5y=3+13

7x=16

x=\frac{16}{7}

Putting x=\frac{16}{7} in Equation [1]

4x-5y=3......[1]

y=\frac{43}{35}

Although substitution or graphing methods can also be used to bring the solution of the given system of equations, but using substitution or graphing method can be sometimes cumbersome or time-consuming as it would have to take some additional steps to solve the system.

For example, if we would have to use the substitution methods to solve the given system of equations, first we would have to solve one of the equations by choosing one of the equation for one of the chosen variables and then putting this back into the other equation, and solve for the other, and then back-solving for the first variable.

As the given system of equation

4x-5y=3......[1]

3x+5y=13......[2]

Solving the equation 2 for x variable

3x=13-5y

x=\frac{13-5y}{3}

Plugging x=\frac{13-5y}{3} in equation [1]

4(\frac{13-5y}{3}) -5y=3

y = \frac{43}{35}

Putting y = \frac{43}{35} in Equation 2

3x+5y=13......[2]

x = \frac{16}{7}

So, you can figure out, we have to make additional steps when we use substitution method to solve this system of equations.

Similarly, using graphing method, it would take a certain time before we identify the solution of the system.

Hence, from all the discussion and analysis we did, we can safely say that substitution and graphing are less efficient methods than elimination for this system as there is extra amount of steps we have to take to solve the same system of equations - hence time consuming and a margin or error may happen.

Therefore, we agree with the student argument that Elimination is the best method for solving this system because the y-coefficient in the first equation is the opposite of the y-coefficient in the second equation.

Keywords: substitution method, system of equations, elimination method

Lear more about elimination method of solving the system of equation from brainly.com/question/12938655

#learnwithBrainly

4 0
3 years ago
Solve using the unit rate problems find the constant speed 60 miles in 1.5 hours what is the answer.
kherson [118]
40 miles per hour. if you take 60 divided by 1.5(the speed over time) you get 40mph
7 0
2 years ago
The owner of a used car lot wants to buy as many cars at an auction as he can while not spending more than $20,000. if he expect
IRISSAK [1]

Answer:

5 cars

Step-by-step explanation:

If the average of cost of a car is $4,000 there will be enough cash to buy 5 cars. 20,000 divided by 4,000= 5.

7 0
2 years ago
SOMEONE PLEASE HELP ME ASAP PLEASE!!!​
nadezda [96]

Answer:

y=-4x+5

Step-by-step explanation:

Parallel lines have the same slope, but different y-intecpets. They are lines that travel in the same directions but never intercept.

6 0
2 years ago
Read 2 more answers
Can anyone please help me with this question??
ANEK [815]
There are many different paths to take but here is my take

15%:22.5%:48%: 74 3/4        Turn everything into a percent
15%:22.5%:48%: 7475%       Turn into a decimal
.15: .22: .48: 74.75                 Times by 100
15: 22 : 48: 7475                    Covert into factors
5(3) : 2(11) : 3(2⁴): 5²(299)     Relize there is no common factor...
15: 22 : 48: 7475                    <------- Whole numbers
                      
8 0
2 years ago
Read 2 more answers
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