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LenaWriter [7]
2 years ago
10

What is the value of the x variable in the solution to the following system of equations? (5 points) 2x − 3y = 3 5x − 4y = 4 Sel

ect one: a. −1 b. 0 c. x can be any number as there are infinitely many solutions to this system d. There is no x value as there is no solution to this system
Mathematics
1 answer:
Rama09 [41]2 years ago
8 0

Answer:

D. There is no x value as there is no solution to this system

Step-by-step explanation:

2x − 3y = 3                                  5x − 4y = 4

5x - 4y = 4               -4y = -5x + 4                         y = 5/4x - 1

2x - 3(5/4x - 1) = 3

2x - 15/4x + 3 = 3

-7/4x = 0

x = 0

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Determina si 2018 es un termino de la siguiente progresion aritmetica 17,46,75,104,133,....
Kitty [74]
2018 is the 70th term of the progression.

Explanation
We start out finding the common difference of the progression:
46-17 = 29

Now we write the explicit formula for the sequence.  It is of the form
a_n=a_1+d(n-1)
\\
a_n=17+29(n-1)

We set this equal to 2018 to see if the answer is a whole number.  If it is, it will be the term number that gives us 2018:

2018=17+29(n-1)

Using the distributive property,
2018=17+29*n-29*1
2018=17+29n-29

Combine like terms:
2018=29n-12

Add 12 to both sides:
2018+12=29n-12+12
2030=29n

Divide both sides by 29:
2030/29=29n/29
70=n

Since n=70, this means 2018 is the 70th term of the sequence.
8 0
3 years ago
Tom and Bob have a total of 49 toys if Bob has 5 more toys than Tom, how many toys does each one have
pickupchik [31]
49 + 5 = 54

So the answer is 54
5 0
3 years ago
Read 2 more answers
I need help... I honestly don’t know.
Serhud [2]

Answer:

∡ABC=55°

Step-by-step explanation:

<u>Step 1: Identify all angles</u>

∠A=(x+45)°

∠B=(6x+5)°

∠C=(3x)°

∠ABC=(180-∠B)°=(180-(6x+5))°

<u>Step 2: Use the Triangle Angle Sum Theorem</u>

∠A+∠ABC+∠C=180°

(x+45)+(180-(6x+5))+(3x)=180

x+45+180-6x-5+3x=180

-2x+45+180-5=180

-2x+45-5=0

-2x+40=0

-2x=-40

x=20

<u>Step 3: Plug in x=20 for ∠ABC</u>

∠ABC=(180-(6x+5))°

(180-6(20)-5)°

(180-120-5)°

(60-5)°

55°

So ∡ABC=55°

8 0
2 years ago
Read 2 more answers
The solution to this system of equations lies between the x-values -2 and -1.5. At which x-value are the two equations approxima
katovenus [111]
D) -1.8
-1.8
6 0
3 years ago
Read 2 more answers
Interval notation x=-2 or x=0
STALIN [3.7K]
I have a good record of guessing the right one so I would say #1.
3 0
3 years ago
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