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Brut [27]
2 years ago
13

Solve the system of equations using elimination. How many solutions does the system have?

Mathematics
1 answer:
Mariana [72]2 years ago
7 0

Answer:

  infinite solutions

Step-by-step explanation:

The coefficient of x in the first equation is 3 times the coefficient of x in the second equation. This means we can eliminate x by subtracting 3 times the second equation from the first:

  (15x +12y) -3(5x +4y) = (18) -3(6)

  0 = 0 . . . . . simplify (true for all values of x or y)

The system of equations has an infinite number of solutions.

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An angle measures 2.2° less than the measure of its complementary angle. What is the measure of each angle?
Pie

Answer:

28 and 62

Step-by-step explanation:

complementary angles add up to 90o

x+(x-34) =90

2x-34=90

2x=56

x=28 (small angle)

28+34=62 (big angle)

28+62 =90

8 0
3 years ago
Suppose x is a uniform random variable with values ranging from 40 to 90. Find the probability that a randomly selected observat
maxonik [38]

ok, so x is a number ranging from 40-90 which is 50 meaning that x has 50 different possibilities. But what are the chances that x is 75? well the chances of x being 75 is 1 out of 50.

so that means there is a 2% chance of x being 75

brainliest is appreciated

6 0
3 years ago
What is the solution to the system of equations? 3x-6y=-12 " " x-2y=10 Use the substitution method to justify that the given sys
Thepotemich [5.8K]

The two lines in this system of equations are parallel

Step-by-step explanation:

Let us revise the relation between 2 lines

  • If the system of linear equations has one solution, then the two line are intersected
  • If the system of linear equations has no solution, then the two line are parallel
  • If the system of linear equations has many solutions, then the two line are coincide (over each other)

∵ The system of equation is

3x - 6y = -12 ⇒ (1)

x - 2y = 10 ⇒ (2)

To solve the system using the substitution method, find x in terms of y in equation (2)

∵ x - 2y = 10

- Add 2y to both sides

∴ x = 2y + 10 ⇒ (3)

Substitute x in equation (1) by equation (3)

∵ 3(2y + 10) - 6y = -12

- Simplify the left hand side

∴ 6y + 30 - 6y = -12

- Add like terms in the left hand side

∴ 30 = -12

∴ The left hand side ≠ the right hand side

∴ There is no solution for the system of equations

∴ The system of equations represents two parallel lines

The two lines in this system of equations are parallel

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

6 0
3 years ago
Two angles in a triangle have measures of 13° and 65° what is the measure of the third angle
natulia [17]

Answer:

102

Step-by-step explanation:

All angles added together=180

180-13-65

180-78

102

8 0
3 years ago
When graphing an ordered pair, what is the first number and what does it tell you to do?
TEA [102]
The answer is D. In an ordered pair, the x-value, which tells you to move left or right, comes first, followed by the y-value, which tells you to move up or down.
7 0
4 years ago
Read 2 more answers
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