All categories

4 years ago

X + 3y = 6 2x - 7y = -1

Mathematics

1 answer:

lubasha [3.4K]4 years ago

6 0

Answer:

x=3, y=1. (3, 1).

Step-by-step explanation:

x+3y=6

2x-7y=-1

------------

x=6-3y

2(6-3y)-7y=-1

12-6y-7y=-1

12-13y=-1

13y=12-(-1)

13y=12+1

13y=13

y=13/13

y=1

x+3(1)=6

x+3=6

x=6-3

x=3

You might be interested in

The figure is made up of two shapes a semicircle and a square.

fiasKO [112]

Answer:

Option B $(2 \pi+12)\ cm$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The perimeter of the figure is equal to sum the length of semicircle plus the length of three sides of a square

<u>Find the length of semicircle</u>

Remember that the circumference of semicircle is equal to

$C=\frac{1}{2}\pi D$

we have

$D=4\ cm$

substitute

$C=\frac{1}{2}\pi(4)=2 \pi\ cm$

The perimeter of the figure is equal to

$P=2 \pi+3(4)=(2 \pi+12)\ cm$

6 0

3 years ago

Read 2 more answers

Given 10x = 110, what do you do to find x?

riadik2000 [5.3K]

Step by step:

10x=110

1. Divide both sides by 10
10x/10 = 110/10

2. X= 11

Answer: x=11

8 0

3 years ago

Write an equation for each situation

Arte-miy333 [17]

9(4) = 36
5(9) = 45
6(4) = 24

8 0

3 years ago

Evaluate each of the following. (a) P(11,5) (b) C(11,5) (a) P(11,5) = (Simplify your answer.) (b) C(11,5) = (Simplify your answe

Hunter-Best [27]

<h2>Answer:</h2>

(a) P(11,5)= 55440

(b) C(11,5)=462

<h2>Step-by-step explanation:</h2>

We know that the permutation is the number of ways of arranging r items out of a total of n items and is given by:

$P(n,r)=\dfrac{n!}{(n-r)!}$

and the combination is the number of ways of choosing r items out of a total of n items and is given by:

$C(n,r)=\dfrac{n!}{r!\times (n-r)!}$

(a)

P(11,5)

$P(11,5)=\dfrac{11!}{(11-5)!}\\\\P(11,5)=\dfrac{11!}{6!}\\\\P(11,5)=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{6!}\\\\P(11,5)=11\times 10\times 9\times 8\times 7\\\\P(11,5)=55440$

(b)

C(11,5)

$C(11,5)=\dfrac{11!}{5!\times (11-5)!}\\\\C(11,5)=\dfrac{11!}{5!\times 6!}\\\\C(11,5)=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{5\times 4\times 3\times 2\times 1\times 6!}\\\\C(11,5)=462$

8 0

3 years ago

Anybody know the answer?

ozzi

6 cm i thinking not i’m sorry!!

7 0

3 years ago