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Sveta_85 [38]
3 years ago
9

What is the solution for the system of equations? Use the substitution method to solve. y=5−3x5x−4y=−3 Enter your answer in the

boxes.
Mathematics
1 answer:
velikii [3]3 years ago
5 0

y=5-3x\\5x-4y=-3\\\\5x-4(5-3x)=-3\\5x-20+12x=-3\\17x-20=-3\\17x=-3+20\\17x=17\\x=17/17\\x=1\\\\y=5-3x\\y=5-3(1)\\y=5-3\\y=2\\\\5x-4y=-3\\5(1)-4(2)=-3\\5-8=-3\\-3=-3

So:

x=1

y=2

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Step-by-step explanation:

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Question number 16 pls answer ​
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Read 2 more answers
What is the measure of angle 1?
tatiyna

Answer:

27 degrees

Step-by-step explanation:

The easy way is by remembering the formula (a-b)/2=c, where a is the larger angle, and b is the smallest angle. (90-36)/2=27.

The longer, more drawn out answer goes as follows. See the image to understand the notation I use:

  1. AOE + BOD + BOA + DOE = 360
  2. AOE + BOD = 90 + 36 = 126
  3. BOA + DOE = 360 - AOE - BOD = 234
  4. Since the sum of a triangle's angles is 180, ODE = (180 - DOE) / 2
  5. Likewise, OBA = (180 - BOA) / 2
  6. Since CDE is 180, CDO = 180 - ODE = 180 - (180 - DOE) / 2
  7. Likewise, CBA is 180, so CBO = 180 - OBA = 180 - (180 - BOA) / 2
  8. The interior angles of the irregular polygon CBOD add up to 360, so CBO + CDO + BOD + BCD = 360.
  9. Substituting what we already found, 180 - (180 - BOA)/2 + 180 - (180 - DOE)/2 + 36 + BCD = 360
  10. Cleaning it all up, we get 180 + (BOA + DOE)/2 + 36 + BCD = 360
  11. As we found in line 3, BOA + DOE = 234, so substituting that in, 180 + 117 + 36 + BCD = 360
  12. Finally, solving for BCD (360 - 36 - 117 - 180) we get our answer, 27

Note: The long drawn out method shown above is a way to derive the formula for the secant theorem. You do not need to use this method every time. Just remember, large angle minus small angle, all divided by 2. That is it.

5 0
2 years ago
How do you graph a solution set of an inequality that only has whole numbers
fomenos

Answer:

Step-by-step explanation:

A solution set is the set of values which satisfy a given inequality. It means, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality.

Example:

Solve 2x + 3 ≤ 7, where x is a natural number.

Solution:

2x + 3 ≤ 7

Subtracting 3 from both the sides,

2x ≤ 4

Dividing both sides by 2,

x ≤ 2

Since  x is a natural number,

Solution set = {1,2}.

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Step-by-step explanation:


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