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blagie [28]
3 years ago
8

Solve using substitution x=(3y+1) and x+4y=15

Mathematics
1 answer:
natka813 [3]3 years ago
3 0

The solution is: x= 7 and y = 2

Step-by-step explanation:

Given equations are:

x = 3y+1\ \ \ \ Eqn\ 1\\x+4y = 15\ \ \ \ Eqn\ 2

Putting x = 3y+1 in equation 2 from equation 1

3y+1+4y = 15\\7y+1 = 15\\

Subtracting 1 from both sides

7y+1-1 = 15-1\\7y = 14

Dividing both sides by 7

\frac{7y}{7} =\frac{14}{7}\\y = 2

Putting y=2 in equation 1

x = 3(2) +1\\x = 6+1\\x = 7

Hence,

The solution is: x= 7 and y = 2

Keywords: Linear equations, substitution method

Learn more about linear equations at:

  • brainly.com/question/4706270
  • brainly.com/question/4710621

#LearnwithBrainly

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For the rhombus below, find the measure of angles 1,2,3 and 4.
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Answer:

∠1 is 33°

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Step-by-step explanation:

First off, we already know that ∠2 is 57° because of alternate interior angles.

Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.

Then, you basically just do some other pain-in-the-butt things after.

Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.

Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.

57° + 90° = 147°

180° - 147° = 33°

∠1 is 33°

Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.

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