Mathematics, 25.11.2019 06:31, ace6112

20 points

using the substitution method, solve the following equations.
1.) m+n=5
m-n=3
2.) y=3x-7
6x-2y=12
3.) 5x+2y=7
y=x+7
4.) y+2x=7
14 - 4x=2y
5.) y=4x+6
5x-y=6

Answers: 1

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Answers

1.) m + n = 5
m - 3 = n

m + m - 3 = 5
2m - 3 = 5
2m = 8
m = 4

m + n = 5
4 + n = 5
n = 1

Therefore m =4 and n =1

2.) I don't think this one can be done because:
6x - 2(3x - 7) = 12
6x - 6x + 14 = 12
0x + 14 = 12
0x = - 2

3.) 5x + 2(x + 7) = 7
5x + 2x + 14 = 7
7x + 14 = 7
7x = - 7
x = - 1

y = x + 7
y = - 1 +7
y = 6

Therefore x = - 1 and y = 6

4.) I don't think this one can be done either because:
14 - 4x = 2y
Is the same as:
7 - 2x = y
Which is the same as the first equation. You then get 0x because if you substitute y in:
7 - 2x + 2x =7
7 = 7

5.) y = 4x + 6
5x - 4x + 6 = 6
x +6 = 6
x = 0

y = 4x + 6
y = (4x0) + 6
y = 6

Therefore x = 0 and y = 6

answered: Guest

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

answered: Guest

1. sometimes

2. never

3 .08c = 7.50+.05c 250 pages

step-by-step explanation:

1. sometimes

the theoretical probability of rolling a 1 is 1/6. perhaps you got really lucky and never rolled a 1 in those 60 times. your experimental probability is 0. or perhaps you rolled a 1 20 times. your experimental probability is 20/60 is 1/3. it really just depends on how you rolled in that experiment.

2. never

the probability of the event occurring is 1. that is being 100 % sure it will happen. that is the maximum amount of confidence we have.

3. no customer card cost: .08 times number of pages

customer card cost: 7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03