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stich3 [128]
3 years ago
5

Evan is training for a race on Saturday. He wants to run a total of 12 miles total for the week before the race. On Monday he ra

n 3 miles, on Tuesday he ran 5 miles, he took Wednesday and Friday off. How many miles does he need to run on Thursday to meet his goal?
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0

Answer: 4 miles

Step-by-step explanation: what you need to is 5+3 which is 8 then 12-8 what is 4 so he needs to run 4 miles on Thursday

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Can you help me solve systems of equations by elimination step by step<br> 6x+y=15<br> -7x-2y=-10
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Answer:   (4, -9)

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

Use elimination method.  Manipulate one (or both) equations to eliminate one of the variables and solve for the remaining variable.  <em>I will be eliminating y</em>

6x +  y =  15    → 2(6x +  y =  15)   →   12x + 2y = 30

-7x - 2y = -10   → 1(-7x + 2y = -10)   →  <u> -7x - 2y = -10</u>

                                                             5x        = 20

                                                               x         =  4

Next, replace "x" with "4" into either equation and solve for y.

6(4) + y = 15

24  + y = 15

         y  = -9


<u>Check:</u>

Plug in x = 4 and y = -9 into the other equation to verify it makes a true statement.

-7x - 2y = -10

-7(4) - 2(-9) = -10

-28  -   -18  = -10

-28  +  18 = -10

       -10    =  -10  \checkmark

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