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2 years ago

How to use substitution to solve system of equations

Mathematics

1 answer:

svlad2 [7]2 years ago

4 0

Answer: See explanation.

Step-by-step explanation:

Let's assume that you have a System of two equations. You can solve this System using the Substitution Method.

In order to use that method to solve the System of equations, you can follow the steps shown below:

Step 1: You must choose one of the equations of the system and solve for one of the variables. Let's call this new equation "Equation A"

Step 2: Then you must substitute"Equation A" into the other equation.

Step 3: Now you must solve for the other variable in order to find its value.

Step 4: Finally, you need to substitute the value of the variable obtained in the previous step, into the "Equation A" and then evaluate in order to find the value of the other varibale.

(Note: You can also substitute the value of the variable calculated in Step 3 into any original equation and solve for the other variable to find its value).

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Determine whether the relationship between the circumfrance of a circle and its diameter is a direct variation. If so, identify

kipiarov [429]

Answer:

The relationship between the circumference of a circle and its diameter represent a direct variation and the constant of proportionality is equal to the constant $\pi$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y=kx$

where K is the constant of proportionality

In this problem we know that

The circumference of a circle is equal to

$C=\pi D$

therefore

the relationship between the circumference of a circle and its diameter is a direct variation and the constant of proportionality is equal to the constant $\pi$

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3 years ago

The sum of the digits of a two-digit number is 10. When the digits are reversed, the new number is 18 less than the original num

eimsori [14]

<h3>Answer:</h3>

<h3>Explanation:</h3>

6+4= 10

Then reverse the digits of 64, and you have 46

64-46= 18

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3 years ago

What is the surface area of the prism? A rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters.

Naddik [55]

Answer:

52m²

Step-by-step explanation:

For this you would consider each face of the figure as a rectangle, and then multiply it by two.

Face 1:

3m×4m×2=24m²

Face 2:

4m×2m×2=16m²

Face 3:

3m×2m×2=12m²

Then you add each of them together to get the overall surface area

12m²+16m²+24m²=52m²

Therefore the final surface area is 52m²

5 0

2 years ago

Read 2 more answers

A=1/2(a+b)h solve for h

max2010maxim [7]

H= 2a/a+b woolud be the answer

5 0

2 years ago

The height, h, in feet of a ball above the ground is given by h = −16t2 + 64t + 80, where t is the time in seconds. How long doe

Gwar [14]

Answer:

t = 5 seconds

Step-by-step explanation:

It is given that, the height h, in feet of a ball above the ground is given by :

$h=-16t^2+64t+80$

Where t is in seconds

We need to find how long does it take the ball to hit the ground? When it hits the ground, its height will be equal to 0. So,

$-16t^2+64t+80=0\\\\t=\dfrac{-64\pm \sqrt{(64)^2-4\times (-16)(80)} }{2\times -16}\\\\t=\dfrac{-64+ \sqrt{(64)^2-4\times (-16)(80)} }{2\times -16},\dfrac{-64-\sqrt{(64)^2-4\times (-16)(80)} }{2\times -16}\\\\t=-1\ s\ \text{and}\ t=5\ s$

Neglecting negative time.

It means ball will take 5 seconds to hit the ground.

3 0

2 years ago