All categories

2 years ago

Explain, step by step , how you solve the system of equations: y=3x - 3,y= x-3. Then provide the solution to the system.

Mathematics

2 answers:

Alex_Xolod [135]2 years ago

8 0

Answer:

(0, -3)

Step-by-step explanation:

y = 3x - 3

y = x - 3

In the solution to the system of equations, y is the same number for both of those functions. So 3x - 3 = x - 3.

Then solve for x:

3x - 3 = x - 3

Add 3 to both sides

3x = x

Subtract x from both sides

2x = 0

Divide both sides by 2

x = 0

Now that you have x, substitute it in one of the equations:

y = 3x - 3

y = 3(0) - 3

y = -3

x is 0 and y is -3, so the solution to the equation is (0, -3)

Doss [256]2 years ago

6 0

Answer:

x = 0

Step-by-step explanation:

y=3x-3

y=x-3

They both equal why so you can take away the y and put them equal to each other.

3x-3=x-3

Subtract x from both sides

2x-3=-3

Add 3 to both sides

2x=0

divide 2 from both sides

x=0

The answer is 0. Hope this helps you :)

You might be interested in

A cylindrical water tank has a radius of 6 feet and a height of 20 feet. A larger tank with the same height has a volume that is

likoan [24]

Answer:

Radius of large cylinder $= 10.39 feet\\$

Step-by-step explanation:

Volume of the larger tank is three times the volume of smaller tank

Volume of smaller tank

$= \pi r^{2} h\\= (3.14) * 6^{2} * 20\\= 2260.8 ft^{3} \\$

Volume of larger tank

$= 3 * 2260.8 ft^3\\= 6782.4 ft^3\\$

Or it can also be written as

$\pi r^{2} h = 6782.4 ft^3\\(3.14) * ( r^2) 20 = 6782.4 ft^3\\r^2 = 108\\r = 10.39$

6 0

3 years ago

urgente ordenar de mas grande a mas pequeño estos numeros: 85,94 85,490 , 85,93, 85,035 ,85

Ilia_Sergeevich [38]

Largest to Smallest:-

First lets write all the numbers down. 45, 94, 85, 490, 85, 93, 85, 035, 85.

035 is 35.

So lets order them now.

The biggest number is 490 and smallest is 35 (035).

490 - 94 - 93 - 85 - 85 - 85 - 85 - 035 (35)

4 0

3 years ago

Read 2 more answers

PLZ CHECK MY ANSWER. Round your answer to the nearest tenth.

Umnica [9.8K]

Answer:

D. $70.34 cm^2$

Step-by-step explanation:

Area of sector of a circle is given as θ/360*πr²

Where,

r = radius = 12 cm

θ = 56°

Use 3.14 as π

Plug in the values into the formula and solve

$area = \frac{56}{360}*3.14*12^2$

$area = 70.34$

Area of the sector ABC = $70.34 cm^2$

The answer is D

4 0

3 years ago

(8b^2/3*9t^3/5)(8b^5/3*9t^3/5)

erma4kov [3.2K]

Answer:

5,184•b•t^6/5

Step-by-step explanation:

Here, we want to multiply the expressions

According to indices law, if we have same bases, we add up the exponents

Thus, we have that;

8 *8b^(2/3+5/3) * 9 * 9 * t^(3/5+3/5)

= 64 * b * 81 * t^6/5

= 5,184bt^6/5

8 0

2 years ago

Last week, Max earned a total of $162 working at two jobs. He worked 6 hours at his grandfather's store and 10 hours at the loca

VMariaS [17]

The choices are missing but we can find the right equation from the given information

The equation that models this situation is 6 g + 10 m = 162

Step-by-step explanation:

The given is:

Max earned a total of $162 working at two jobs
He worked 6 hours at his grandfather's store
He worked 10 hours at the local movie theater
g represents the hourly rate paid by Max's grandfather, and m represents the hourly rate paid by the movie theater

We need to write an equation models this situation

∵ g represents the hourly rate paid by Max's grandfather

∵ He worked 6 hours at his grandfather's store

∴ He earned from his grandfather = 6 × g = 6 g dollars

∵ m represents the hourly rate paid by the movie theater

∵ He worked 10 hours at the local movie theater

∴ He earned from the local movie theater = 10 × m = 10 m dollars

Add 6 g and 10 m to find his total earning

∵ His total earning = 6 g + 10 m

∵ Max earned a total of $162

- Equate his total earning by 162

∴ 6 g + 10 m = 162

The equation that models this situation is 6 g + 10 m = 162

Learn more:

You can learn more about the linear equation in brainly.com/question/1284310

#LearnwithBrainly

6 0

2 years ago