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Andreyy89
3 years ago
13

2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no soluti

ons, and identify each equation as an identity, a contradiction, or neither. You must complete all sections of this questions to receive full credit.
(a) 6x+4x-6=24+9x
(b) 25-4x=15-3x+10-x
(c) 4x+8=2x+7+2x-20
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
6 0
(a) 6x+4x-6=24+9x

6x+4x-6=24+9x
10x-6=24+9x
x=30
one solution, equation is "neither" identity nor contradiction

(b) 25-4x=15-3x+10-x

25-4x=15-3x+10-x
25-4x=25-4x
both sides are the same (identity)-> infinite solutions

(c) 4x+8=2x+7+2x-20
4x+8=2x+7+2x-20
4x+8=4x-13
8=-13
no solutions -> Contradiction

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7 1/3 ∙ x = 1.6 ÷ 6/11<br><br> x = __ <br><br> Please Help!
ANTONII [103]

Answer:

x= 0.4

Step-by-step explanation:

We need to solve and find the value of x

7 1/3x = 1.6 ÷ 6/11

Converting mixed fraction into improper fraction

22/3 x = 1.6 ÷ 6/11

Converting ÷ sign by X and reciprocating the term

22/3 x = 1.6 * 11/6

Now divide both sides by 3/22

x = 1.6 * 11/6 * 3/22

x = 1.6 * 1/2 * 1/2

x = 1.6/4

x = 0.4

S0, x= 0.4

7 0
3 years ago
Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of t
Vanyuwa [196]
An infinite number of solutions means a coincident line...it is the same line
3y = 2x - 9...divide by 3
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3 0
3 years ago
Read 2 more answers
Kavi solved the system
Marianna [84]

Answer:

She should have substituted y = 17 - 2x in the first equation

Step-by-step explanation:

3x + 4y = 33

2x + y = 17

y = 17 - 2x

3x + 4(17 - 2x) = 33

3x + 68 - 8x = 33

5x = 35

x = 7

y = 17 - 2(7)

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Only one solution

6 0
3 years ago
There are a total of 15 dimes and quarters in a covered cup. The value of all 15 coins totals 2.85
QveST [7]

Answer:

There are 6 dimes and 9 quarters.

Step-by-step explanation:

Represent the number of dimes and the number of quarters by d and q.

Then d + q = 15, or q = 15 - d.

Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.

Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or

75 - 5d + 2d = 57, or

75 - 3d = 57, or

3d = 18.  Thus, there are 6 dimes.  Since q = 15 - d, q = 15 - 6 = 9.

There are 6 dimes and 9 quarters.

6 0
3 years ago
4 1/3 ÷ 5 1/6 the respricol of a fraction must be found to solve the problem .what is reciprocal fraction that should be used ?
emmasim [6.3K]

The denominator would be 6.


4 0
3 years ago
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