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Mnenie [13.5K]
3 years ago
11

Draw the graphs of the pair of linear equations : x + 2y = 5 and 2x - 3y = -4 Also find the points where the lines meet the x -

axis .
Mathematics
1 answer:
aliina [53]3 years ago
6 0

Answer:

(1, 2)

Step-by-step explanation:

Given the equation of the lines x + 2y = 5 and 2x - 3y = -4

First we need to make x the subject of the formulas

For x+2y = 5

x = 5 - 2y ... 1

For 2x - 3y = -4

2x = -4+3y

x = (-4+3y)/2 ... 2

Equate 1 and 2

5 - 2y =  (-4+3y)/2

2(5-2y) = -4+3y

10 - 4y = -4+3y

-4 -3y = -4-10

-7y = -14

y = 14/7

y = 2

Substitute y = 2 into 1

x = 5 = 2y

x = 5 - 2(2)

x = 5 - 4

x = 1

Hence the point where the lines meet will be at (1, 2)

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La distancia de la casa de Juan a la tienda es de 25 metros, ¿cuántos decámetros hay?.La distancia de la casa de Juan a la tiend
scZoUnD [109]

Answer:

<u>Hay 2.5 decámetros en 25 metros.</u>

Step-by-step explanation:

Aqui solo debemos recordar la relacion de metros a decámetros.

1 decámetro = 10 m

Entonces 25 metros seran:

\frac{1\: decametro}{10\: m}=\frac{x\: decametro}{25\: m}

x=\frac{25\: m*1\: decametro}{10\: m}

x=\frac{25*1}{10}=2.5\: decametros

<u>Por lo tanto, hay 2.5 decámetros en 25 metros.</u>

Espero te haya sido de ayuda!

6 0
2 years ago
What’s the answer and how do you figure these out?
storchak [24]
You need to find the value of x that will make 4x = 2x (or in mathematical terms parallel. therefore the answer would be 0 since there is no other possible answer. hope this helps <3 make sure you eat today !
4 0
2 years ago
A group of friends went out for dinner and decided to split the cost of the bill equally. If each person contributed $32, the fr
lianna [129]

Answer:

The number of friends that went out for dinner is 8

And their bill is $238

Step-by-step explanation:

Let's assume that the number of friends that went out for dinner to be x

And the bill for the dinner to be y

If each person contributed $32 and paid off the bill,they will have a balance of $18

32x - 18 = y_____equation 1

If each person contributed $35 and paid off the bill and also 15% tip,they will have a balance of $6.30

35x - 6.3 = y + (15% of y)

35x - 6.3 = y + (3y/20)

Open up the bracket

35x - 6.3 =(20y + 3y)/20

700x - 126 = 23y______equation 2

From equation 1,y = 32x - 18

Put the above in equation 2 and we have

700x - 126 = 23(32x -18)

700x - 126 = 736x - 414

collect like terms

36x = 288

x = 288/36

x = 8

Remember that equation 1 says that y = 32x - 18 and we now know that x = 8 .

Substitute and we have

(32 × 8) - 18

y = 238

The number of friends that went out for dinner is 8

And their bill is $238

3 0
2 years ago
Anthony patella earns 300 a week working part time at his uncles restaurant how much does he make in a year
Orlov [11]
500 is the answer checked and for sure write your welcome
5 0
2 years ago
Read 2 more answers
Serena is building a bookcase she cuts two pieces of wood from one board one piece is 1 7/8 feey long and another is 3.5 ft long
Vladimir79 [104]

Answer:

\frac{43}{8}  feet

Step-by-step explanation:

The total change is the sum of the length of two boards she cut.

First board length is 1  7/8th feet. Let's change to improper fraction:

1 7/8 = 15/8 feet

Second board lengrh is 3.5 feet, or 3  1/2 feet. Let's change to improper fraction:

3  1/2 = 7/2 feet

Let's add the two:

\frac{15}{8}+\frac{7}{2}\\=\frac{15+28}{8}\\=\frac{43}{8}

The change in original board is 43/8 feet

3 0
3 years ago
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