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EleoNora [17]
2 years ago
11

Solve the system of linear equations by elimination. 4x−3y=8 5x−2y=−11

Mathematics
1 answer:
AleksandrR [38]2 years ago
7 0

Answer:

(-7, -12)

Step-by-step explanation:

4x-3y=8

5x-2y=-11

Is there any of the like terms can be added and the result will be 0? No, so we have to multiple one OR both of the equations to make that one number do that.

(I will try to remove the y like terms so i will multiple both of them by the opposite so both of the ys will be 6)

2(4x-3y=8)

-3(5x-2y=-11)

8x-6y=16

-15x+6y=33

(now the easy part… cancel the 6s and add the equations)

8x+(-15x)=-7x

16+33=49

-7x=49

(divide 49 by -7)

x=-7

Replace x in any of the equations and you’ll get the y value.

4x-3y=8

4(-7)-3y=8

-28-3y=8

-3y=36

y=12

Threfore, there is one solution which is….. (-7,-12)

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Sheila was making place-value disks. She colored 2/6 of the disks red. She colored 1/4 of the disks yellow. If she colored 40 re
Anastasy [175]

Answer:

She colored 30 yellow place value disks and 50 disks are left to color.

Step-by-step explanation:

Let total number of disks be x.

It is given that, she colored 2/6 of the disks red. She colored 1/4 of the disks yellow.

\text{Red disks}=\dfrac{2}{6}x

\text{Yellow disks}=\dfrac{1}{4}x

She colored 40 red place value disks.

\dfrac{2}{6}x=40

\dfrac{1}{3}x=40

x=120

It means total number of disks is 120.

\text{Yellow disks}=\dfrac{1}{4}x=\dfrac{1}{4}(120)=30

So, she colored 30 yellow place value disks.

Remaining disks = Total disks - Red disks - Yellow disks

               =120-30-40

               =50

Therefore, 50 disks are left to color.

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3 years ago
Sherrell mowed 2/5 of the lawn and Trace power 1/3 of it. How much more of the lawn did Sherrell mow than Trace?
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Descubra os numeros que estão faltando a)[9] [15] [21] [ ] [33] [39] [ ] B)[69] [68] [66] [63] [59] [ ] [ ]
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Answer:

a) [9] [15] [21] [27] [33] [39] [45]

b) [69] [68] [66] [63] [59] [54] [48]

Step-by-step explanation:

A sequência de números fornecida é

a) [9] [15] [21] [27] [33] [39] [45]

Cada próximo número é igual ao número anterior + 6

Portanto, o número após 21 será 21 + 6 = 27

E o número após 39 será 39 + 6 = 45

b) [69] [68] [66] [63] [59] [54] [48]

Cada próximo número é igual ao anterior - a diferença aumenta em 1

Por exemplo

Diferença entre 69 e 68 - 1

Diferença entre 68 e 66 - 2

Diferença entre 66 e 63 - 3

Diferença entre 63 e 59 - 4

Portanto, o número após 59 será 59 -5 = 54

E o número depois de 54 será 54 - 6 = 48

7 0
3 years ago
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