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slavikrds [6]
2 years ago
9

Gerald can complete a math assignment in 2 hours and a physics assignment in 1 hour. If he has 8 hours to complete a set of assi

gnments, how many math assignments can he complete if he decides to leave the science assignments for the next day? This situation is given by 2x + y = 8, where x is the number of completed math assignments and y is the number of completed science assignments. (x 0, y 0, x and y take only integer values). . A) 1. B) 2. C) 3. D)4. E) 5 .
Mathematics
2 answers:
Studentka2010 [4]2 years ago
6 0
 

The solution would be like this for this specific problem:

Since he’d leave the science assignments for the next day, you just need to remove the y in the equation because y represents the number of science assignments. <span>The equation 2x + y = 8 will be converted to 2x = 8.</span>

2(4) = 8

<span>If he has 8 hours to complete a set of assignments, then he can complete 4 math assignments if he decides to leave the science assignments for the next day. </span>

The correct answer between all the choices given is the last choice or letter D. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

balu736 [363]2 years ago
3 0

The Answer is 4 on Plato the equation can be converted from2x+y=8 to2x=8

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4 0
3 years ago
Use the substitution method to solve.
lord [1]

Answer:

x = 7, y = 6

Step-by-step explanation:

solve for y for the first equation

2x + y = 20

-2x         -2x , eliminate 2x

y = 20-2x

now that we have found y, substitute the y in for the second equation

-5y = -6x + 12

-5(20-2x) = -6x + 12, we just changed y into 20-2x. remember that we are multiplying all of 20 - 2x by -5

-100+10x = -6x + 12, we multiplied everything from the parathesis  by -5

+100                 + 100, eliminate -100

10x = -6x + 112

+6x    +6x , eliminate 6x

16x = 112 , solve for x

x = 7

then y = 20 - 2x = 20 - 2*7 = 6

check:

2 * 7 + 6 = 20

20 = 20

-5 * 6 = -6 * 7 + 12

-30 = -42 + 12

-30 = -30

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