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3 years ago

Match the equivalent expressions.

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

7 0

Answer:

see below

Step-by-step explanation:

5(x + y) + 6(x − y)

Distribute

5x+ 5y + 6x -6y

Combine like terms

11x -y

(5x − 3y) − x + 3x − 5y

Combine like terms

5x -x +3x -3y -5y

7x -8y

4(x + y) − 3(x + y)

Distribute

4x +4y -3x -3y

Combine like terms

x -y

x − 4x + 6y + (14x − 5y)

Combine like terms

x -4x +14x +6y -5y

11x +y

3x + 3y + 2(2x − y)

Distribute

3x+3y +4x -2y

Combine like terms

7x +y

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Please help with 6 and 7

Ilya [14]

Answer:

6. The number is $-5$

7. The two numbers are $10$ and $11$

Step-by-step explanation:

Question six can be re-worded to create the following expression:

$-2=\frac{4x+10}{5}$

Solve for x to find the number:

$-2=\frac{4x+10}{5}\\-10=4x+10\\-20=4x\\\frac{-20}{4} = x\\-5 = x$

Question seven can be solved by first listing the constraints (assuming x is smaller than y):

x and y are less than 20
$x + 1 = y$
$3x - 8 = 2y$

To get the numbers, we can create a system of linear equations. First, solve for $y$ in each expression:

$y = x+1$

$2y = 3x-8\\y = \frac{3}{2}x - 4$

Solve for $x$ :

$x+ 1 = \frac{3}{2}x - 4\\x + 5 = \frac{3}{2}x\\5 = \frac{3}{2}x - x\\5 = \frac{1}{2}x\\10 = x$

Solve for $y$ :

$y = x + 1\\y = 10 + 1\\y= 11$

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2 years ago

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taurus [48]

Answer:

slope : 1/15

Step-by-step explanation:

slope = change in y / change in x

change in y = 1 / change in x = 15

therefore, 1/15 = slope

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Which number is 5 more than 2? Which number is 4 less than -3? PLS HELP ME ILL GIVE YOU BRAINLIST

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Step-by-step explanation:

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