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ra1l [238]
2 years ago
9

2x-y=3 -x-y=3 what does this equal system of equations

Mathematics
1 answer:
Jet001 [13]2 years ago
3 0

Topic : Linear equations in two variables.

Given :

  • 2x - y = 3 ––– (i)
  • - x - y = 3 ––– (ii)

Solution :

Now,

(i) – (ii)

\qquad \sf \: { \dashrightarrow 2x - y - ( - x - y) = 3 - 3}

\qquad \sf \: { \dashrightarrow 2x - y  +  x  + y) = 3 - 3}

\qquad \sf \: { \dashrightarrow 3x = 0}

\qquad \bf \: { \dashrightarrow x = 0}

Now, substituting the value of x in Eq (i) :

\qquad \sf \: { \dashrightarrow 2x - y = 3 }

\qquad \sf \: { \dashrightarrow 2(0)- y = 3 }

\qquad \sf \: { \dashrightarrow 0- y = 3 }

\qquad \bf \: { \dashrightarrow  y =  - 3 }

Therefore,

  • <u>The value of x = 0 and y = -3</u>
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A particular state's license plates have 7 characters. Each character can be a capital letter, or a digit except for 0. How many
Ede4ka [16]

Answer:

N = 35 × 34^6

N = 54,068,154,560

Step-by-step explanation:

Given;

The license plate have 7 characters.

Each character can be a capital letter, or a digit except for 0.

There are 26 capital letters

And there are 9 digits excluding 0

The total number of possible entries in each character is;

26+9 = 35

The number of license plates in which no two adjacent characters are the same are;

For no two adjacent characters of the license plate not to be the same that is no two characters that follow each other can be the same, the number of possible entries in the adjacent characters apart from the first character would be reduced by one.

N = 35 × 34 ×34×34×34×34×34

N = 35 × 34^6

N = 54,068,154,560

Therefore, there are 54,068,154,560 possible license plates

8 0
2 years ago
The average yearly temperature T in degrees for Newport, Oregon is given by: |T−55|≤10 Find the average temperature range in deg
Nata [24]
Good evening


The absolute value has the following property:

|x|\leq a\iff -a\leq x\leq a


Apllying:

|T-55| \leq 10 \iff -10\leq T - 55 \leq 10\\ \\ -10 + 55 \leq T -55 + 55 \leq 10 + 55\\ \\ \boxed{45\leq T \leq 65}

The average temperature range is between 45 and 65 degrees.
8 0
3 years ago
Helppppppppppppppp ppppp
viva [34]

For part A, turn 10x + 5y = 20 into slope intercept form. An equation with the same slope as Amanda’s equation will be linear. I hope this helps :)

6 0
3 years ago
PLEASE HELP
Aloiza [94]
  • Volume=2.7million km^3
  • Base=339milliom km^2

\\ \tt\longmapsto Volume=Base\times Height

\\ \tt\longmapsto Height=\dfrac{Volume}{Base}

\\ \tt\longmapsto Height=\dfrac{2.9km^3}{339km^2}

\\ \tt\longmapsto Height=0.00079km

\\ \tt\longmapsto Height=7.9m

7 0
3 years ago
Can anyone help check if my calculation is correct or wrong?
8_murik_8 [283]
It’s correct good job
6 0
3 years ago
Read 2 more answers
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