Fill in two equal numbers that add to the even number 38

Make sure you show all your work for full points. What is y? yz 42 26 55

svetoff [14.1K]

Y equal 55 .........

7 0

3 years ago

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

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4 0

3 years ago

There are 332,054 people in the city.Of these, 168,278 are under the age of eighteen.Draw a bar diagram and find how many people

iragen [17]

Nobody here can draw anything.

6 0

3 years ago

Which equation represents a population of 250 animals that decreases at an annual rate of 21% ?

victus00 [196]

Answer: Choice C. p = 250(0.79)^t

Work Shown:

p = a*b^t

p = a*(1+r)^t

p = 250*(1+(-0.21))^t

p = 250(0.79)^t

Note that r = -0.21 is negative to indicate we have exponential decay.

3 0

2 years ago

The price of Stock A at 9 A.M. was $14.65. Since then, the price has been increasing at the rate of $0.13 each hour. At noon

Nataly [62]

Answer:

The prices of the two stocks will be the same in 1.56 hours.

The price of Stock A at 9 A.M. was $12.95 Since then, the price has been increasing at the rate of $0.12 each hour.

This means that after x hours, the value of Stock A is:

After noon:

Noon is 3 hours after 9 AM, so

So in x hours after noon, the value is given by:

At noon the price of Stock B was $13.70. It begins to decrease at the rate of $0.13 each hour.

This means that after x hours, the value of Stock B is:

In how many hours will the prices of the two stocks be the same?

This is x for which:

The prices of the two stocks will be the same in 1.56 hours.

Step-by-step explanation:

Hope this helps:)

5 0

2 years ago

Read 2 more answers