All categories

2 years ago

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)

You might be interested in

Line FG contains points F(3,7) and G (-4,-5)

sdas [7]

What are you supposed to be finding? Give More Information Plz. <span />

3 0

3 years ago

What are the 2 MEDIANS?

Aleks04 [339]

B because it can’t be A

8 0

3 years ago

Read 2 more answers

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.

8 0

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?

Lina20 [59]

Its simple what you do is you subtract not divide because if you where dividing you would be putting something into groups equally and not Addison because your not trying to find how much in all so it would be Subtraction another way is to see if there is how many more or How much more so if you see that then you know that its Subtraction! Hope this helps!:)

7 0

3 years ago

Descubra os numeros que estão faltando a)[9] [15] [21] [ ] [33] [39] [ ] B)[69] [68] [66] [63] [59] [ ] [ ]

Natali5045456 [20]

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