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Andrej [43]
3 years ago
7

Solve by using elimination.express answer as an ordered pair 2x-5y=-7 5x-3y=11

Mathematics
1 answer:
jonny [76]3 years ago
8 0
2x-5y=-7 \ \ \ \ \ \ |\times (-5) \\
5x-3y=11  \ \ \ \ \ \ \ |\times 2 \\ \\
-10x+25y=35 \\
\underline{10x-6y=22 \ \ \ \ \ \ } \\
25y-6y=35+22 \\
19y=57 \\
y=\frac{57}{19} \\
y=3 \\ \\
2x-5y=-7 \\
2x-5 \times 3 =-7 \\
2x-15=-7 \\
2x=-7+15 \\
2x=8 \\
x=\frac{8}{2} \\
x=4 \\ \\ \boxed{(x,y)=(4,3)}
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Step-by-step explanation:

f(x) = x + 1, find f(x+3)

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Nick has fraction 1 over 2 cup of syrup. He uses fraction 1 over 6 cup of syrup to make a bowl of granola.
SCORPION-xisa [38]

<u>Part A)</u> <em>How many bowls of granola can Nick make with fraction 1 over 2 cup of syrup?</em>

So if we have 1/2 cup of syrup and 1/6 is needed we can divide 1/2 by 1/6 to find our answer for part a.

1/2 / 1/6

"keep change flip" -> 1/2 x 6

answer -> 3

He can make 3 bowls of granola

<u>Part B)</u> <em>On your own paper, draw a fraction model that shows the total number of bowls of granola that Nick can make with fraction 1 over 2 cup of syrup. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A. </em>

(visual attatched)

You could say "This model visually shows the solution for Part A because each bowl of granola has 1/6 cup of syrup in it. The 1/2 cup is split into 3 different parts, as you can see"

(draw it neater though, it's hard on a computer with a mouse haha)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

(second problem you commented)

Part A: <em>How many 3 over 4 foot pieces can Clark cut from the 7 and 1 over 2 feet of wire? Show your work. (5 points)</em>

First let us change 7 1/2 into an improper fractoin,

7 x 2 = 14 + 1 = 15/2

So then we can, as we did above, divide 15/2 by 3/4 which looks like:

15/2 / 3/4

keep, change, flip -> 15/2 x 4/3

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answer -> 10

Clarck can cut <u>10</u> 3/4 foot pieces.

Part B: <em>Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given.</em>

*I am honestly kind of confused by this question, so here is some words that are hopefully somewhat correct*

You could say here that "Calrck had 7 1/2 feet of wire. He needed 3/4 pieces, so when he cut it up he got 10 pieces. This is because 3/4 times 10 is 7 1/2 so this quotient makes sense with the two fractions given."

~~~~~~~~~~~~~`

Hopefully these are correct and help, have a nice day! :D

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3 years ago
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3 years ago
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vova2212 [387]

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Recall the definition of absolute value: |x| = +x if x ≥ 0, and |x| = -x if x < 0.

This means

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x + 1 = -3

x = -4

8 0
3 years ago
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