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earnstyle [38]
2 years ago
5

Solve the system x+3y=22 2x-y=2

Mathematics
2 answers:
photoshop1234 [79]2 years ago
7 0

Answer:  The required solution is (x, y) = (4, 6).

Step-by-step explanation:  We are given to solve the following system of equations :

x+3y=22~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\2x-y=2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

From equation (ii), we have

2x-y=2\\\\\Rightarrow y=2x-2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Substituting the value of y from equation (iii) in equation (i), we get

x+3(2x-2)=22\\\\\Rightarrow x+6x-6=22\\\\\Rightarrow 7x=22+6\\\\\Rightarrow 7x=28\\\\\Rightarrow x=\dfrac{28}{7}\\\\\Rightarrow x=4.

From equation (i), we get

4+3y=22\\\\\Rightarrow 3y=22-4\\\\\Rightarrow 3y=18\\\\\Rightarrowy=\dfrac{18}{3}\\\\\Rightarrow y=6.

Thus, the required solution is (x, y) = (4, 6).

saw5 [17]2 years ago
3 0
It will equal (4,6) for x and y
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The initial is 21 and the rate of change is the slope so it would be 6
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2 years ago
Write a expression that shows how to multiply 4 x 362 using place value and expanded form??
dexar [7]

Answer:


Step-by-step explanation:


3 0
3 years ago
1. Label the place value charts. Fill in the blanks to make the following equations true. Draw disks in the
ivanzaharov [21]

[1] (a) 10 times 4 ones = 10 x 4 ones = 40

(b) 10 times 2 tens = 2 tens = 20

(c) 5 times hundred times 10 = 50 hundreds = 50

[2] (a) 10 times as many as 1 hundred is 10 x 100 = 10 hundreds or 1000 x 1 = 1 thousand

(b) 10 times 6 hundreds is 60 hundreds / 6 thousands

(c) 10 times 8 hundreds is 8 thousands.

(d) 40 hundreds is same as 4 thousands.

<h3>What Is Place Value in Math? </h3>

Place value is the base of number system. This is that system in which the position of a digit in a number tells/determine its value. The number 41,316 is different from 51,432 because the digits are in different positions.

The place value of 4 in 41,316 is 10 thousands and place value of 4 in 51,432 is 1 hundred.

we can also find the place value by multiplying the required number of 10.

for ones → multiply by 1

for tens → multiply by 10

for hundreds → multiply by 100

for thousands → multiply by 1000

for ten thousands → multiply by 10000

Here we have given

[1]

(a) 10 times 4 ones which is equal to 40 ones = 40

(b) 10 times 2 tens = 2 tens = 20

(c) 5 hundreds times 10 = 50 hundreds = 50

[2]

(a) 10 times as many as 1 hundred is 10 x 100 = 10 hundreds or 1000 x 1 = 1 thousand

(b) 10 times 6 hundreds is 60 hundreds or 6 thousands

(c) 10 times 8 hundreds is 8 thousands.

(d) 40 hundreds is same as 4 thousands.

Hence,

[1] (a) 10 times 4 ones = 10 x 4 ones = 40

(b) 10 times 2 tens = 2 tens = 20

(c) 5 times hundred times 10 = 50 hundreds = 50

[2] (a) 10 times as many as 1 hundred is 10 x 100 = 10 hundreds or 1000 x 1 = 1 thousand

(b) 10 times 6 hundreds is 60 hundreds or 6 thousands

(c) 10 times 8 hundreds is 8 thousands.

(d) 40 hundreds is same as 4 thousands.

Learn more about " Place value and Number system " from here: brainly.com/question/27734142

#SPJ9

Disclaimer: The question given was incomplete on portal. Here is the complete question.

Question: Label the place value charts. Fill in the blanks to make the following equations true. Draw disks in the place value chart to show how you got your answer, using arrows to show any regrouping.

[1] a. 10 times 4 ones = ____ ones = _____

b. 10 times 2 tens = _____ tens = _____

c. 5 hundreds times 10 = _____ hundreds = ____

[2] Complete the following statements using your knowledge of place value:

a. 10 times as many as 1 hundred is _____ hundreds or _____ thousand.

b. 10 times as many as _____ hundreds is 60 hundreds or _____ thousands.

c. _________ as 8 hundreds is 8 thousands.

d. ______ hundreds is the same as 4 thousands.

Use pictures, numbers, or words to explain how you got your answer for Part (d).

6 0
1 year ago
Sixteen is seven plus three time a number. Find the number
Amanda [17]

Answer:

x=3

Step-by-step explanation:

16-7=9

9/3=3

6 0
3 years ago
I will give brain list
DaniilM [7]

Answer:

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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