All categories

3 years ago

3x = 27 + Зу 3х - 10у = 27 please explain how you got the answer.

Mathematics

1 answer:

konstantin123 [22]3 years ago

7 0

Answer:

Hi there!

Your answer is:

Y= 0

X= 9

Step-by-step explanation:

3x=27+3y

3x-10y=27

Solve one of them for Y

I chose the first equation

3x=27+3y

-27

3x-27=3y

x-9 = y

NOW, plug y in the second equation!

3x-10y=27

y= x-9

3x-10y=27

3x-10(x-9) = 27

Solve for x!

3x-10x+90 = 27

-7x + 90 =27

-90

-7x = -63

/-7

x= 9

FINALLY, plug back in x for y equation

y=x-9

x=9

y=9-9

y=0

You might be interested in

X(x+3) + 34 = (x +5)(x+2)

My name is Ann [436]

X(x + 3) + 34 = (x + 5)(x + 2)

First, expand to remove parentheses.
$x^{2} + 3x + 34 = x^{2} + 2x + 5x + 10$
Second, add '2x + 5x' to get '7x'.
$x^{2} + 3x + 34 = x^{2} + 7x + 10$
Third, cancel out ' $x^{2}$ ' on both sides.
$3x + 34 = 7x + 10$
Fourth, subtract '3x' from both sides.
$34 = 7x + 10 - 3x$
Fifth, subtract '7x - 3x' to get '4x'.
$34 = 4x + 10$
Sixth, subtract '10' from both sides.
$34 - 10 = 4x$
Seventh, subtract '34 - 10' to get '24'.
$24 = 4x$
Eighth, divide both sides by '4', leaving the 'x' by itself.
$\frac{24}{4} =x$
Ninth, since '24 ÷ 4 = 6', simplify the fraction to '6'.
$6 = x$
Tenth, switch your sides to get the answer.
$x = 6$

Answer: x = 6

4 0

3 years ago

X +5+11x=12x+Y It says find the value of y that makes each equation true for all values of

sladkih [1.3K]

X + 5 + 11x = 12x + y

Simplify: 12x + 5 = 12x + y (We are adding x and 11x on the left side)

Subtract 12x from each side makes each zero.

5 = y

So we can plug in and test. I'm picking two random numbers to plug in for x. 10, and 82

x = 10, y = 5
10 + 5 + 11(10) = 12(10) + 5
125 = 125

x = 82, y = 5
82 + 5 + 11(82) = 12(82) + 5
989 = 989

So we verified y = 5

3 0

2 years ago

What is the correct evaluation of 4x2 + 4x - 2y2 +3y, when x is equal to -2 and y is equal to 3?

____ [38]

Answer:

-1

Step-by-step explanation:

This all comes down to the substitution. I am assuming that (4x2) is meant to be 4x^2 so I will solve as that.

4(-2)^2 = 4(4) = 16

4(-2) = - 8

-2(3)^2 = -2(9) = -18

3(3) = 9

16-8-18+9= -1

7 0

1 year ago

8000$ is invested in an account the yields 6% interest per year. After how many years will the account worth 13709.60$ if the in

ozzi

Answer:

After 9 years the account will be worth 13709.60$

Step-by-step explanation:

We are given the following in the question:

We are given the following in the question:

P = $8000

r = 6% = 0.046

n = 12

The compound interest is given by:

$A = p\bigg(1+\dfrac{r}{n}\bigg)^{nt}$

where A is the amount, p is the principal, r is the interest rate, t is the time in years.

Putting the values, we get,

$13709.60 = 8000\bigg(1+\dfrac{0.06}{12}\bigg)^{12t}\\\\\dfrac{13709.60}{8000} = \bigg(1+\dfrac{0.06}{12}\bigg)^{12t}\\\\\Rightarrow 1.7137 = (1.005)^{12t}\\\Rightarrow t \approx 9$

Thus, after 9 years the account will be worth 13709.60$

5 0

2 years ago

Read 2 more answers

Work out the size of angle ABC and give a reason for your answer

Mariulka [41]

Answer:

there is no picture so it is impossible to answer

Step-by-step explanation:

3 0

2 years ago