Simplify 2(5x -y)-3(3x-y)

6x – 7y = 16 2x + 7y = 24 (2, 1) (2, 0) (5, 2) (4, –5)

White raven [17]

6x – 7y = 16
2x + 7y = 24

This system is easily solvable by the elimination method as the y-terms are opposites of each other. You may add the two equations together and they will cancel out.

 6x – 7y = 16
2x + 7y = 24
+___________
8x – 0 = 40
8x = 40
x = 5

Substitute 5 for x into either of the above equation and solve algebraically for y.

2x + 7y = 24
2(5) + 7y = 24
10 + 7y = 24
7y = 14
y = 2

Check work by plugging both x- and y-values into each original equation.

6x – 7y = 16 => 6(5) – 7(2) = 16 => 30 – 14 = 16
2x + 7y = 24 => 2(5) + 7(2) = 24 => 10 + 14 = 24

Answer:
x = 5; y = 2

(5, 2)

3 0

3 years ago

HELP ON #2 PLEASEEE!!!!!!!!!!!!!!!!!!!!!

garik1379 [7]

Answer:

ok so i think it is H

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

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Aleksandr [31]

Answer:

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Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Please help me !!!! Will mark brainliest

stich3 [128]

Answer:

The value of x is 108°

Step-by-step explanation:

Given interior angles of parallelogram are:

$\frac{2}{3}x, x, \frac{2}{3}x\ and x$

The sum of interior angles of a parallelogram is 360°.

We will use this information to find the value of x.

So adding up all the angles and putting the sum equal to 360 we get,

$x+\frac{2}{3}x+x+\frac{2}{3}x = 360$

$2x+\frac{2}{3}x+\frac{2}{3}x = 360\\2x + \frac{4}{3}x = 360$

Taking LCM on left side of the equation, as it involves fraction

$\frac{6x+4x}{3} = 360\\\frac{10x}{3} = 360$

Multiplying both sides by 3

$\frac{10x}{3} * 3 = 360 * 3\\10x = 1080$

Dividing both sides by 10

$\frac{10x}{10} = \frac{1080}{10}\\x = 108$

Hence,

The value of x is 108°

3 0

3 years ago

Mr. Corbin measures the lengths of three branches. The first branch

anygoal [31]

Answer:

2nd branch > 1st branch > 3rd branch

or

$\dfrac{2}{2} > \dfrac{2}{3} > \dfrac{2}{8}$

Step-by-step explanation:

Length of First branch = $\frac{2}{3}$ foot

Length of second branch = $\frac{2}{2}$ foot

Length of third branch = $\frac{2}{8}$ foot

Let us convert the fractions in decimal forms:

$1.\ \dfrac{2}{3} = 0.67$

$2. \dfrac{2}{2} = 1$

$3.\ \dfrac{2}{8} = \dfrac{1}{4}=0.25$

It can be clearly seen that 1 is the largest value among the three values.

So, 2nd branch is the largest.

Now, let us have a look at the values of first and third branches:

0.67 and 0.25.

Clearly, 0.67 is greater than 0.25.

So, the correct order is:

2nd branch > 1st branch > 3rd branch

OR

We can use other method to see it.

Here, all the 3 fractions have same numerator.

So, denominator can help us decide the which fraction has a large value.

If numerator is same, the larger denominator will have smaller fractions.

The denominators are 2, 3 and 8.

8 > 3 > 2

So, the answer is

2nd branch > 1st branch > 3rd branch

or

$\dfrac{2}{2} > \dfrac{2}{3} > \dfrac{2}{8}$

5 0

3 years ago