All categories

2 years ago

How do I solve this equation to get the solution? y= -2x - 1 -3x + 6y = 24

1 answer:

swat322 years ago

6 0

There are a few ways to solve this. The method I will use is the substitution method. Since they give us a "y = " statement, we can replace the y in the second equation with what it gives us to the right of the equal sign.

- 3x + 6(- 2x - 1) = 24

Simplify by using the distributive property.

- 3x + 6(- 2x) + 6(- 1) = 24
- 3x - 12x - 6 = 24.

Combine like terms

- 15x - 6 = 24

Add 6 to each side.

- 15x = 30

Divide both sides by - 15 to isolate variable X

x = 30 / - 15
x = - 2.

Now plug in the x-value we've found back into the first equation.

y = - 2( - 2) - 1
y = 4 - 1
y = 3

Your answer is (- 2, 3)

You might be interested in

In downtown Charlotte, building inspectors must regulate the height of buildings. From the top of the BB&T building which is

Morgarella [4.7K]

Answer:

296.89 m

Step-by-step explanation:

assuming that both the buildings are on level ground (i.e their bases are at the same elevation), see attached.

5 0

2 years ago

Please help!!!! Chris is a fitness instructor.

dmitriy555 [2]

Answer:

i think its d

Step-by-step explanation:

3 0

2 years ago

? Liter equivalent to 0,000 000 000 013 cubic kilometers

Amiraneli [1.4K]

Question:

? Liter equivalent to 0.000 000 000 013 cubic kilometers

How do we do it?´

Answer:

13 liter is equivalent to 0.000 000 000 013 cubic kilometers

Solution:

Given that,

? Liter equivalent to 0.000 000 000 013 cubic kilometers

So we have to convert cubic kilometer to liter

Use the following conversion factor

$1\ km^3 = 1000000000000\ liter$

Therefore,

$0.000 000 000 013\ km^3 = 0.000 000 000 013 \times 1000000000000\ liter\\\\0.000 000 000 013\ km^3 = 13\ liter$

Thus, 13 liter is equivalent to 0.000 000 000 013 cubic kilometers

7 0

2 years ago

Christina wants to compute the cost of tiling the floor in her bathroom. The floor measures 7 feet 6 inches by 8 feet 10 inches.

ArbitrLikvidat [17]

Answer:

Two boxes will cost $\$35.95\cdot 2=\$71.9.$ The cost of one tile is approximately $\dfrac{\$71.9}{67}\approx \$1.08.$

Step-by-step explanation:

Note that 1 ft = 12 in, then

$7\ ft\ 6\ in=7\cdot 12+6\ in =90\ in,\\ \\8\ ft\ 10\ in=8\cdot 12+10\ in=106\ in.$

The area of the floor is

$90\cdot 106=9540\ in^2.$

Now

$1\ ft^2=144\ in^2,$

then

144 sq. in - 1 tile,

9540 sq. in - x tiles.

Mathematically,

$\dfrac{144}{9540}=\dfrac{1}{x},\\ \\x=\dfrac{9540}{144}=66.25$

tiles is needed to cover the floor (67 full tiles).

Each box of tiles contains 45 tiles, so Cristina has to buy 2 boxes. These two boxes will cost $\$35.95\cdot 2=\$71.9.$ The cost of one tile is approximately $\dfrac{\$71.9}{67}\approx \$1.08.$

7 0

2 years ago

It takes the staff 7.2 hours to clean 27 rooms in hotel many hours would it take them to clean 15 room? srep by step

Alinara [238K]

Answer:

Step-by-step explanation:

The staffs takes 7.2 hours to clean 27 rooms

Therefore in one hour, the number of rooms cleaned is

= 7.2/27

= 0.2666

The number of hours required to 15 rooms is

= 0.2666×15

= 4 hours

5 0

2 years ago