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Gennadij [26K]
3 years ago
9

Hey Guys! PLEASE HELP QUICK! I'M OFFERING 15PTS AND THE BRAINLIEST ANSWER. PLEASE , PLEASE , PLEASE FOLLOW THE DIRECTIONS AND SH

OW YOUR WORK. I NEED THIS GRADE DESPERATELY. THANK IN ADVANCE

Mathematics
1 answer:
bija089 [108]3 years ago
8 0
A. Your variable is the number of miles that Steve runs (which I'll label as S; Kevin's distance is K)

b. The expression for Kevin would be:
S+4 = K   ---> Why? Because it says that Kevin ran 4 more miles than Steve did. So, whatever value S is, K is always 4 more than that.

The expression for Steve would just be: S = S

c. The equation is: 4+S+S = 26. Why? Because since the two ran a total of 26 miles together, K+S = 26. But, we already figured out that K = S+4 (see b.). So, we can substitute 4+S for K into K+S=26 to get 4+S+S = 26.

d. Solving it:
4+S+S = 26 ---> 4+2S = 26 ---> 2S = 22 ---> S = 11
Solution: Steve ran 11 miles.

e. Checking: plug in 11 as S
4+2(11) = 26 ---> 4+22 = 26 ---> 26 = 26
And...it's in the domain they give you.


Final Answer: 11 miles


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Heres how you do it

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3 years ago
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14.What is the solution of the system?
Archy [21]

Answer:

14.  x=-2.5,  y = -7

15.  x=28  y = -20

Step-by-step explanation:

14.  Let's solve this system by elimination.  Multiply the first equation by -1.

-1*(4x-y)= -1*(- 3)

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Then add this to the second equation.

-4x+y = 3

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--------------

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Divide each side by 2

x = -2.5

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y = 3-10

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15.I will again use elimination to solve this system, because using substitution will give me fractions which are harder to work with.   I will elimiate the y variable.  Multiply the first equation by 11

11( 5x+6y)= 11*20

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Multiply the second equation by -6

-6(9x+11y)=32*(-6)

-54x-66y = -192


Add the modified equations together.

55x+66y = 220

-54x-66y = -192

---------------------------

x = 28

We still need to solve for y

5x+6y = 20

5*28 + 6y =20

140 + 6y = 20

Subtract 140 from each side

6y = -120

Divide by 6

y = -20

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Step-by-step explanation:

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Answer:

B. (1, 0)

Step-by-step explanation:

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