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andreyandreev [35.5K]
3 years ago
8

Solution of y - x < -3

Mathematics
1 answer:
devlian [24]3 years ago
8 0

Answer:

Step-by-step explanation:

The inequality y - x < -3 should be solved for y, as follows:

Add x to both sides, obtaining:

y  <  x - 3

Note that this y  <  x - 3 has the form y = mx + b, which represents a straight line.  In this case the straight line would be y = x - 3, meaning that the slope of this line is 1 and the y-intercept is -3.

Because y  <  x - 3  involves the inequality symbol <, draw a dashed line, not a solid line.   The solution set consists of all points on the graph BELOW this dashed line y  <  x - 3.

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The sum of two integers is 33. The larger is 6 more than twice the smaller. Find the two
grandymaker [24]

Answer:

24 and 9

Step-by-step explanation:

Hi there!

Let x be equal to the larger integer.

Let y be equal to the smaller integer.

<u>1) Construct equations</u>

  1. x+y=33 (The sum of two integers is 33)
  2. x=6+2y (The larger is 6 more than twice the smaller)

<u>2) Solve for one of the integer</u>

Isolate x in the first equation

x+y=33\\x=33-y

Plug the first equation into the second

33-y=6+2y

Combine like terms

33-6=2y+y\\27=3y\\9=y

Therefore, the smaller integer is 9.

<u />

<u>3) Solve for the other integer</u>

x+y=33

Plug in y (9)

x+9=33\\x=33-9\\x=24

Therefore, the larger integer is 24.

I hope this helps!

4 0
3 years ago
Read 2 more answers
Woodland high school
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