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prohojiy [21]
2 years ago
6

Simultaneous EQUATION 3x+2y=16 2x+y=9 PLS HELP I need answer quickly

Mathematics
1 answer:
Serggg [28]2 years ago
6 0

Answer:

(2, 5 )

Step-by-step explanation:

Given the 2 equations

3x + 2y = 16 → (1)

2x + y = 9 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the y- term

- 4x - 2y = - 18 → (3)

Add (1) and (3) term by term to eliminate y

- x = - 2 ( multiply both sides by - 1 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

3(2) + 2y = 16

6 + 2y = 16 ( subtract 6 from both sides )

2y = 10 ( divide both sides by 2 )_

y = 5

solution is (2, 5 )

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How do you do the second part of the problem?
Sveta_85 [38]

Answer:

8

Step-by-step explanation:

According to the Alternating Series Estimation Theorem:

│aₙ₊₁│≤ ε

1 / (4 (n + 1)⁴) ≤ 0.00005

4 (n + 1)⁴ ≥ 20000

(n + 1)⁴ ≥ 5000

n + 1 ≥ 8.41

n ≥ 7.41

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7 0
3 years ago
George and Carmen went on a bicycle trip. they took a bus to their starting point, and then biked the rest. they traveled 325 ki
chubhunter [2.5K]
In the question there are numerous information's of immense importance already given. Let us write them down first
Distance traveled by bike = x km
Distance traveled by bus = y km
Total distance traveled by George and Carmen = 325 km
Then
x + y = 325
Another equation can be determined by
x - y = 75
x = y + 75
Now we will put the value of x in relation to y in the first equation.
x + y =325
y + 75 + y = 325
2y = 325 - 75
2y =250
y = 250/2
  = 125 km
Now putting the value of y in equation given below, we get
x + y = 325
x + 125 = 325
x = 325 - 125
  = 200 km
So the distance they biked is 200 km and the distance they traveled by bus is 125 km.
6 0
3 years ago
In ΔRST, t = 4.1 inches, r = 7.1 inches and ∠S=45°. Find the length of s, to the nearest 10th of an inch.
dem82 [27]

Answer:

The length of s is 5.1 inches to the nearest tenth of an inch

Step-by-step explanation:

In Δ RST

∵ t is the opposite side to ∠T

∵ r is the opposite side to ∠R

∵ s is the opposite side to ∠S

→ To find s let us use the cosine rule

∴ s² = t² + r² - 2 × t × r × cos∠S

∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°

→ Substitute them in the rule above

∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)

∴ s² = 16.81 + 50.41 - 41.1677568

∴ s² = 26.0522432

→ Take √ for both sides

∴ s = 5.10413981

→ Round it to the nearest tenth

∴ s = 5.1 inches

∴ The length of s is 5.1 inches to the nearest tenth of an inch

3 0
2 years ago
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