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2 years ago

Determine if the following system of equations has no solutions, infinitely many

Mathematics

1 answer:

DochEvi [55]2 years ago

8 0

Answer:

There is one solution

Step-by-step explanation:

2x + y = -1

8x + 3y = -2

Multiply the first equation by -4

-8x -4y = 4

Then add the equations together to eliminate x

-8x -4y = 4

8x + 3y = -2

--------------------

-y = 2

Multiply by -1

y =-2

Now find x

2x+y =-1

2x+-2 =-1

Add 2 to each side

2x-2+2=-1+2

2x=1

Divide by 2

x = 1/2

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In a sequence of ten terms, each term (starting with the third term) is equal to the sum of the two previous terms. The seventh

poizon [28]

Answer:

$\boxed{a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8+a_9+a_{10}=66}$

Step-by-step explanation:

We know that in a sequence of ten terms, each term (starting with the third term) is equal to the sum of the two previous terms. The seventh term is equal to 6. Therefore, we have

$a_1+a_2=x\\a_3=x\\a_4=2x\\a_5=3x\\a_6=5x\\a_7=8x\\$

We know that:

$a_7=6\\\implies 8x=6\\x=\frac{3}{4}$

We get:

$a_1+a_2=x=\frac{3}{4}\\\\a_3=x=\frac{3}{4}\\\\a_4=2x=\frac{3}{2}\\\\a_5=3x=\frac{9}{4}\\\\a_6=5x=\frac{15}{4}\\\\a_7=8x=6\\\\a_8=13x=\frac{39}{4}\\\\a_9=21x=\frac{63}{4}\\\\a_{10}=34x=\frac{102}{4}\\$

Therefore, we calculate

$\boxed{a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8+a_9+a_{10}=66}$

4 0

2 years ago

The expression 35 exponet 2 is equivalent to the product of two perfect squares (each greater than 1). You can find the two

raketka [301]

Answer:

Step-by-step explanation:

7 0

3 years ago

What is the solution to the equation 2x + 4 = 24? x = 1 x = 3 x = 6 x = 10

horsena [70]

Answer:

x = 14

Step-by-step explanation:

1.1 Pull out like factors :

2x - 20 = 2 • (x - 10)

Equation at the end of step 1 :

Step 2 :

Equations which are never true :

2.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2 Solve : x-10 = 0

Add 10 to both sides of the equation :

x = 10

One solution was found :

x = 10

4 0

3 years ago

Read 2 more answers

#14 i

ivann1987 [24]

Answer:

Incorrect/No

Step-by-step explanation:

7x2=14

-7x2=-14

Follow the below guidelines:

A positive number times a positive number is a positive number
A negative number times a positive number is a negative number
A positive number times a negative number is a negative number
A negative number times a negative number is a positive number

Looking at the last one, we see that -2x-7=14, a positive number

Hope this helps!

--Applepi101

7 0

2 years ago

The quotient of 2 and the sum of a number and 1

siniylev [52]

Answer:

2/(x + 1)

Step-by-step explanation:

4 0

2 years ago