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3 years ago

The system of equations is coincident. What are the missing values?

Mathematics

1 answer:

FrozenT [24]3 years ago

7 0

$\rm x+3y=5|*4 \\ \\ 4*x+4*3y=4*5 \\ \\ \boxed{\rm 4x+12y=20}$

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One number is 6 more than twice the other number. If the sum of the two numbers is 21, find the two numbers

hichkok12 [17]

Answer:

One number, let's call it x, is 6 more than twice the other number, let's say this number is y.

x= 2y+6

x+y=21

We're left with a system of equations.

If we substitute the first equation in the second we find the value of y.

(2y+6)+y=21

3y+6=21

3y=15

y=5

Now that we have found the value of y, we can take that value and substitute it in the second equation (since it's easier) to find the value of x.

x+ (5)=21

x=16

Now to check if our answers are correct, we plug in both values into any equation and see if they equate.

x+y=21

(16)+(5)=21

21=21

Our solution is correct!

4 0

2 years ago

Work out the value of z, given that x+y=42 and x/13=y/8=z/9.

Andru [333]

Answer:

z = 18

x = 26 and y = 16

Step-by-step explanation:

Given:

$x + y = 42$

$\dfrac{x}{13}=\dfrac{y}{8}=\dfrac{z}{9}$

Rewrite $x + y = 42$ to make $y$ the subject:

$\implies y=42-x$

Substitute this into $\dfrac{x}{13}=\dfrac{y}{8}$ :

$\implies \dfrac{x}{13}=\dfrac{42-x}{8}$

Cross multiply:

$\implies 8x=13(42-x)$

$\implies 8x=546-13x$

$\implies 21x=546$

$\implies x=26$

Substitute found value of x into $x + y = 42$ and solve for y:

$\implies 26 + y = 42$

$\implies y=16$

Substitute found value of y into $\dfrac{y}{8}=\dfrac{z}{9}$ and solve for z:

$\implies \dfrac{16}{8}=\dfrac{z}{9}\\\\\implies 2=\dfrac{z}{9}\\\\\implies 18=z$

4 0

2 years ago

Which is equivalent to 256 Superscript three-fourths? 4 12 64 192

Vaselesa [24]

Answer: 64

Step-by-step explanation:

256 is thesame thing as 2 raise to power of 8.

We then multiply 2 raise to power 8 by the power of 3/4. We will then be left with 2 raise to power 6.

2 raise to power 6 equals:

= 2 × 2 × 2 × 2 × 2 × 2

= 64

Check the attached file for proper explanation.

7 0

3 years ago

What is y=8/3x-68/3 in standard form?

lawyer [7]

Answer:

The standard form of this equation is -8x + 3y = -68

Step-by-step explanation:

In order to find this, first solve for the constant.

y = 8/3x - 68/3

-8/3x + y = -68/3

Now we multiply by 3 to get them all equal to integers.

-8x + 3y = -68

8 0

3 years ago

While riding her bike to the ocean and back home 6 times, corinne timed herself at 58 min, 61 min, 55 min, 59 min, 56 min, and 5

Pani-rosa [81]

Hᴇʏ! Hope that I can help!
First, we need to find the mean (average) of her 6 bike rides. To do this, we need to add up all the rides and divide that number by the amount of rides (6).

$58+61+55+59+56+58=347/6=57.8333$ .

Answer: She will need to ride about 58 minutes (57.83̅ to be exact)

If you were helped by my answer, remember that I worked really hard on it. Please click the [ ♥ ᴛʜᴀɴᴋs ] button below and give me a rating of ★★★★★ to show your appreciation.

8 0

3 years ago