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tangare [24]
3 years ago
10

2y = 4x + 8 4y = 4x + 20

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
8 0
2y = 4x + 8

Multiply 2 to both sides

(2)2y = 2(4x + 8)
4y = 8x + 16

Plug in 8x + 16 for 4y.

8x + 16 = 4x + 20

Isolate the x, subtract 4x from both sides and 16 from both sides

8x (-4x) + 16 (-16) = 4x (-4x) + 20 (-16)

8x - 4x = 20 - 16

4x = 4

divide 4 x from both sides to isolate the x

4x/4 = 4/4

x = 4/4

x = 1

Plug in 1 for x in one of the equations

2y = 4(1) + 8
2y = 4 + 8
2y = 12

isolate the y, divide 2 from both sides

2y/2 = 12/2

y= 12/2
y = 6

x = 1, y = 6 is your answer


hope this helps
mars1129 [50]3 years ago
6 0
<span>2y = 4x + 8  ------> y = 2x + 4
 4y = 4x + 20 ------> y = x+5

2x+4 =x+5
x = 1
y=x+5=1+5=6

Check:
</span>2*6 = 4*1 + 8 , 12 =12 
 4*6 = 4*1 + 20, 24 =24<span>

x=1,y=6
(1,6)
</span>

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75 - 3.5x - 4x = 4x + 6
stepladder [879]

Answer:

x = 6

Step-by-step explanation:

Step 1: Write equation

75 - 3.5x - 4x = 4x + 6

Step 2: Solve for <em>x</em>

  1. Combine like terms: 75 - 7.5x = 4x + 6
  2. Add 7.5x on both sides: 75 = 11.5x + 6
  3. Subtract 6 on both sides: 69 = 11.5x
  4. Divide both sides by 11.5: 6 = x
  5. Rewrite x = 6

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

75 - 3.5(6) - 4(6) = 4(6) + 6

75 - 21 - 24 = 24 + 6

54 - 24 = 30

30 = 30

3 0
4 years ago
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2. Which of the following are terms of the series with nth term T-3n +17? a) 80 b) 170 c)217 d) 312 e) 278 f) 3566
pishuonlain [190]

Answer:

The correct options are a,b,e and f.

Step-by-step explanation:

It is given that the nth terms of the series is defined as

T_n=3n+17

Subtract 17 from both the sides.

T_n-17=3n

Divide both sides by 3.

\frac{T_n-17}{3}=n

The term Tₙ is a term of given series if n is a positive integer.

(a) The given term is 80.

n=\frac{80-17}{3}=21

Since n is a positive integer, therefore 80 is a term of given series.

(b) The given term is 170.

n=\frac{170-17}{3}=51

Since n is a positive integer, therefore 170 is a term of given series.

(c) The given term is 217.

n=\frac{217-17}{3}=66.67

Since n is not a positive integer, therefore 217 is a term of given series.

(d) The given term is 312.

n=\frac{312-17}{3}=98.33

Since n is not a positive integer, therefore 312 is a term of given series.

(e) The given term is 278.

n=\frac{278-17}{3}=87

Since n is a positive integer, therefore 278 is a term of given series.

(f) The given term is 3566.

n=\frac{3566-17}{3}=1183

Since n is a positive integer, therefore 3566 is a term of given series.

Thus, the correct options are a, b, e and f.

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