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3 years ago

What values of x and y satisfy the system of equations {x = −2y + 1 | 13x + 8y = 11?}

Mathematics

1 answer:

Viefleur [7K]3 years ago

5 0

Y= -2/-18 or Y= 0.1111
X=-2(-0.1111)+1
or X=0.77778

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Problem 3.2.14a Show that 2^2x+1 +1 is divisible by 3.

elena-s [515]

Answer:

The given expression is divisible by 3 for all natural values of x.

Step-by-step explanation:

The given expression is

$2^{2x+1}+1$

For x=1,

$2^{2(1)+1}+1=2^{3}+18+1=9$

9 is divisible by 3. So, the given statement is true for x=1.

Assumed that the given statement is true for n=k.

$2^{2k+1}+1$

This expression is divisible by 3. So,

$2^{2k+1}+1=3n$ .... (1)

For x=k+1

$2^{2(k+1)+1}+1$

$2^{2k+2+1}+1$

$2^{(2k+1)+2}+1$

$2^{2k+1}2^2+1$

Using equation (1), we get

$(3n-1)2^2+1$

$(3n)2^2-2^2+1$

$(3n)2^2-4+1$

$(3n)4-3$

$3(4n-1)$

This expression is also divisible by 3.

Therefore the given expression is divisible by 3 for all natural values of x.

4 0

3 years ago

8 = 3y - 12 - 8y What is the value of y?

Elan Coil [88]

Answer:

y = -4

Step-by-step explanation:

8 = 3y - 12 - 8y

Combine like terms

8 = -5y -12

Add 12 to each side

8+12 - 5y-12+12

20 = -5y

Divide each side by -5

20/-5 = -5y/-5

-4 =y

5 0

2 years ago

Read 2 more answers

Which solid has two flat circle bases and a curved surface

Snowcat [4.5K]

A figure with two circular bases and one curved surface is called a cylinder

6 0

3 years ago

Read 2 more answers

A car and a motor bike are priced at $23440. If the value of the car is four times the value of the motor bike, how much is the

LenKa [72]

x + y = 23440

x = 4y

y = ?

23440 / 5 = 4688

y = $4688

6 0

2 years ago

Y= -7x-2 y+ 3 = -7x + 1 ( 2,3) no solution an infinite number of solutions

Naya [18.7K]

Answer:

Infinite number of solutions.

Step-by-step explanation:

y = -7x - 2

y + 3 = -7x + 1

Subtract 3 from both sides:

y = -7x - 2

- this is the same as the first equation.

We can put any number of valid combinations of x and y into this equation.

So there are infinite solutions.

8 0

3 years ago