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olga2289 [7]
3 years ago
7

How do you solve 8x-3y=-70 and -2x+5y=-8 using the elimination method please show work.

Mathematics
2 answers:
Black_prince [1.1K]3 years ago
8 0

Answer:

(-11, -6).

Step-by-step explanation:

8x-3y=-70

-2x+5y=-8     Multiply this equation by 4:

-8x+20y=-32

Now add this last equation to the first equation:

17y = -102   - we see that we have eliminated x.

y = -102/17

= -6.

Now plug y=-6 in the first equation to get x:

8x-3(-6)=-70

8x =-70 -18

8x =-88

x = -11.

lora16 [44]3 years ago
3 0

Answer:

6x+2y=-78

Step-by-step explanation:

8x-3y=-70

-2x+5y=-8

6x+2y=-78

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Two numbers total 42 and have a difference of 8 find the two numbers
FinnZ [79.3K]
X+y = 42
x-y = 8
x = 8+y

Substitute it in 1st equation,
8+y+y=42
2y = 34
y = 17

Substitute it in 1st eq.,
x = 42-17 = 25

So, the two numbers are 25 & 17

Hope this helps!

5 0
3 years ago
No links nor files. number answer only
katen-ka-za [31]

Answer: The volume is 20 cubic feet

The Width is 1/3 feet

Hope I helped

Step-by-step explanation:

5 0
2 years ago
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Can someone please help with the answer!!! Thank you :)
Lelechka [254]

Answer:

This sequence is a geometric sequence.

The common ratio of the sequence is

3/9 = 1/3

Hope this helps

4 0
3 years ago
A small business has 15 full-time employees. How many people does the small business employ if the full-time workers make up 30%
Alexxx [7]

Answer:

50 employees

Step-by-step explanation:

The total number of employees the business has will have to be made up the full-time employees and part-time employees.

The number of full-time employees = 15

Let the total number of  employees = x

15 = 30 percent of x

15 = 30/100 \times x\\x=1500/30 = 50

The company has a total of 50 employees

6 0
3 years ago
A certain high school class consists of juniors and seniors. There are
Genrish500 [490]

Answer:

10 SENIORS

Step-by-step explanation:

x=# of seniors

y=# of juniors

x+y=23, x=2y-7

  1. plug the value of x in the second equation into the first
  2. (2y-7)+y=23
  3. Remove parentheses
  4. 2y-7+y=23
  5. Combine like terms
  6. 3y-7=23
  7. Add 7 to BOTH sides
  8. 3y=30
  9. divide BOTH sides by 3
  10. 3y/3=30/3
  11. y=10
  12. There are 10 juniors in the class
  1. FINAL STEPS
  2. Plug y (which is 10) into the first equation
  3. x+y=23
  4. x+10=23
  5. subtract 10 from BOTH sides
  6. x=13
  7. Since X equals the number of seniors, there are 10 seniors in the class

8 0
3 years ago
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