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Juli2301 [7.4K]
4 years ago
15

What is the solution to the system of equations?

Mathematics
1 answer:
Lemur [1.5K]4 years ago
4 0
I would plug in each of the solutions to every equation and see which one works. This is probably easier than solving for x, y, and z. But let me know if you would like me to run through the steps!

First choice: using the first equation, -3(-3)-4(4)+6=-19 not -1 as listed. False.

Second choice: using the first equation, -3(4)-4(-3)+(-1)=-1 ; using the second equation, 2(4)+(-3)-(-1)=6 not -8 as listed. False.

Third choice: using the first equation, -3(-3)-4(4)+8=-17 not -1 as listed. False.

Fourth choice: using the first equation, -3(3)-4(-4)+-(-6)=-1 ; using the second equation,
2(3)+(-4)-(-6)=8 ; using the third equation, 3+8(-4)-(-6)=23

So the answer should be the fourth choice. Hope this helps! :)




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The average allowsnce money of Ernest jack David and mike is 123 per month per person. The average allowance of Ernest jack and
Evgesh-ka [11]

Answer:

Ernest gets 194 monthly allowance

Step-by-step explanation:

* Lets revise the rule of the average

- Average = The sum ÷ the total number

- Assume that the allowances money of Ernest, Jack, David and Mike

  are E, J, D, M respectively

∵ The average allowance money of Ernest jack David and mike is

   123 per month per person

∴ 123 = (E + J + D + M) ÷ 4

- Multiply both sides by 4

∴ E + J + D + M = 492 ⇒ (1)

∵ The average allowance of Ernest jack and David is 159 per month

    per person

∴ 159 = (E + J + D) ÷ 3

- Multiply both sides by 3

∴ E + J + D = 477 ⇒ (2)

- Subtract equation(2) from equation (1) to find M

∴ M = 15

* <em>Mike's monthly allowance is 15</em>

∵ David's monthly allowance is 2 less than mikes

∴ D = M - 2

∵ M = 15

∴ D = 15 - 2 = 13

∴ <em>David's monthly allowance is 13</em>

∵ Mikes monthly allowance is 1/18 of jacks

∴ M = \frac{1}{18} × J

∴ 15 = \frac{1}{18} × J

- Multiply both sides by 18

∴ J = 270

* <em>Jack's monthly allowance is 270</em>

- Substitute the values of D , J in equation (2) to find E

∵ D = 13 and J = 270

∵ E + J + D = 477

∴ E + 270 + 13 = 477

∴ E + 283 = 477

- Subtract 283 from both sides

∴ E = 194

* <em>Ernest's monthly allowance is 194</em>

*<em> Ernest gets 194 monthly allowance</em>

4 0
3 years ago
I need to know the area
Lubov Fominskaja [6]

Answer:

I got option 1.

Step-by-step explanation:

See pictures

7 0
4 years ago
Find the inverse of the function r(t)=5t.
Sveta_85 [38]

Answer:

Log5 t I believe

Step-by-step explanation:

.-.

7 0
3 years ago
PLEASE HELP MEEEEEE PLEASEEEEEEEE!!!!!! IM TIMED
blsea [12.9K]
The answer is d 160 tickets.
6 0
3 years ago
Read 2 more answers
Cubic bins with closed tops are used to transport melons to the farmers market. The edge length of each bin is 1.5 m. What is th
spayn [35]
The main formula of a suface area of a cube is as follow:
A = 6x a², where a is the edge length
if a= 1.5, so A= 1.5² x 6= 13.5
so the answer is A= <span>13.5</span>
5 0
3 years ago
Read 2 more answers
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