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KATRIN_1 [288]
2 years ago
9

Solve the system by substitution. y=4x-9 y=x-3

Mathematics
2 answers:
mixer [17]2 years ago
7 0
X-3=4x-9
X=4x-9+3
X=4x-6
X+6=4x |-x
6=3x |:3
X=2
alex41 [277]2 years ago
3 0

Answer:

<u>(2, -1)</u>

Step-by-step explanation:

<u>Given</u>

  • y = 4x - 9
  • y = x - 3

<u>Solving</u>

  • Substitute the value of one of the y values from the other equation
  • 4x - 9 = x - 3
  • 3x = 6
  • x = 2
  • y = 2 - 3
  • y = -1
  • ⇒ <u>(2, -1)</u>
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How many solutions does this system have? y=3/4x-5 -3x+4y=-20?
lisov135 [29]

Answer:

infinite

Step-by-step explanation:

If you multiply all factors in the secon eqation by 4, you will get the first eqation.

Therefore for any value of x you can find y, thus having an infinite number of x,y pairs

8 0
3 years ago
FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
algol13

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , thus

S_{20} = \frac{20}{2} [ (2 × - 1) + (19 × 4) ]

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8 0
3 years ago
Which is the solution to the inequality |x-4|&lt;3
pishuonlain [190]

Answer:

\large\boxed{1

Step-by-step explanation:

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8 0
3 years ago
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ratelena [41]

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82

Step-by-step explanation:

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