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3 years ago

1. How many solitions does this equation have -4(5-3x)=12x+20

Mathematics

2 answers:

Rom4ik [11]3 years ago

6 0

Answer:

1. no solutions

2. one solution

Step-by-step explanation:

1. -4(5-3x)=12x+20

-20+12x=12x+20

-40+12x=12x

-40=0?????

So no solutions.

2. 3x+7(x+1)=2(6x+5)+2

3x+7x+7=12x+10+2

10x+7=12x+12

-2x+7=12

-2x=5

x=-5/2

So one solution.

den301095 [7]3 years ago

5 0

Answer:

The answers are:

1. No solution.

2. One solution: $x=-\frac{1}{2}$

Step-by-step explanation:

In order to determine the solutions for both equations, we have to solve every one. In any equation of one variable, we could get three types of solution:

One solution. The variable has a unique value.
No solution. The equality is not fulfilled.
Infinite solution. The variable is eliminated from the equation and the equality is fulfilled.

So, solving both equation:

1.-

$-4(5-3x)=12x+20\\-20+12x=12x+20\\12x-12x=20+20\\0=40\\$

The equality is not fulfilled. There is not solution.

2.-

$3x+7(x+1)=2(6x+5)-2\\3x+7x+7=12x+10-2\\10x-12x=8-7\\-2x=1\\x=-\frac{1}{2}$

There is one solution. $x=-\frac{1}{2}$

Finally, the answers for both questions are:

1. No solution.

2. One solution: $x=-\frac{1}{2}$

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2 years ago

-v+5+6v=1+5v+3 solve for v

earnstyle [38]

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3 years ago

PLEASE HELP ASAP!!!!

lina2011 [118]

<h3>Answer:</h3>

System

p + m = 10
0.8m = 0.4·10

Solution

p = m = 5 — 5 lb peanuts and 5 lb mixture

<h3>Step-by-step explanation:</h3>

(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.

For the total amount of mix:

... p + m = 10

For the quantity of peanuts in the mix:

... p + 0.2m = 0.6·10

For the quantity of almonds in the mix:

... 0.8m = 0.4·10

For the ratio of peanuts to almonds:

... (p +0.2m)/(0.8m) = 0.60/0.40

Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.

So, your system of equations could be ...

p + m = 10
0.8m = 0.4·10

___

(b) Dividing the second equation by 0.8 gives

... m = 5

Using the first equation to find p, we have ...

... p + 5 = 10

... p = 5

5 lb of peanuts and 5 lb of mixture are required.

8 0

4 years ago