Find three consecutive even integers such that the sum of the first and third equals the sum of the second and −14.

Mathematics

1 answer:

zepelin [54]3 years ago

4 0

The three consecutive integers are -16, -14, -12.

Step-by-step explanation:

Let the three consecutive even integers be;

x, x+2, x+4

According to given statement;

$x+(x+4)=x+2+(-14)\\x+x+4=x+2-14\\2x+4=x-12\\\\2x-x=-12-4\\x=-16$

The values are as follow;

$-16,\ -16+2,\ -16+4\\-16, -14, -12$

The three consecutive integers are -16, -14, -12.

Keywords: Consecutive, integers, linear equation.

Learn more about linear equations at:

#LearnwithBrainly

You might be interested in

Square root 25a^2. help me pls its a emergency

Vadim26 [7]

5a is ur answer!!!!!

4 0

3 years ago

Linda knitted 1/6 of a sweater on Friday and 2/9 of the sweater on Saturday. On Sunday she knitted 1/2 of the remaining sweater.

sladkih [1.3K]

This is pretty simple. All you have to do is make the first and second fraction share a denominator by multiplying them by each other.

6 • 9 = 54

Then multiply each numerator by the opposing denominator.

1 • 9 = 9

2 • 6 = 12

Here are the new fractions:

9/54

12/54

Now add the 9 and 12 together.

9 + 12 = 21

The complete fraction:

21/54

Subtract 21 from 54 so you can get the remainder of the sweater.

54 - 21 = 33

This is the remainder fraction:

33/54

Can you simplify this? Yes, of course! They can both be divided by 3!

11/18

That is the remainder of the sweater. But you still have to divide it in half! After all, Linda only knitted half of the remaining sweater. Dividing it in half can be done just by multiplying the denominator by 2.

11/36

That should be your answer! Apologies if I got something wrong.

7 0

3 years ago

Tell whether the ordered pair is a solution to the system of linear equations. 1 point

viktelen [127]

Answer:

(5,-6) is a solution

Step-by-step explanation:

Given

$6x + 3y = 12$