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NemiM [27]
3 years ago
12

Solve the following system using the substitution method. Show all work! 4x+y=14 x-2y=8

Mathematics
2 answers:
Serjik [45]3 years ago
6 0

Answer:

Step-by-step explanation:

4x+y=14

x-2y=8

then;

x=8-2y

substitute;

4(8-2y)+8-2y=14

32-8y+8-2y=14

40-10y=14

26=10y

y=2.6 , work out 4x+2.6=14 to get x

kkurt [141]3 years ago
6 0

Answer:

y=-2

x=4

Step-by-step explanation:

add 2y to both sides of equation 2

x-2y=8

x=8+2y

now that we have determined that x equals 2y, we can use it to substitute it in the first equation

4x+y=14

4(8+2y)+y=14

multiply 4 times the numbers in the parentheses

4(8+2y)+y=14

32+8y+y=14

isolate variables by subtracting 32 from both sides

32+8y+y=14

8y+y=-18

combine like terms

8y+y=-18

9y=-18

solve by dividing both sides by 9

9y=-18

y=-2

now that we know that y=-2, lets substitute it to solve for x

4x+y=14

4x-2=14

add 2 to both sides

4x-2=14

4x=16

divide both sides by 4

4x=16

x=4

If this was helpful please leave a thanks or give brainliest :)

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Help me!! A water tank is 1/8 full. The tank is 3/4 full when 42 gallons of water is added to the tank. How much can the water t
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Answer(s):

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Step-by-step explanation:

<u><em>Q1: How much water can the tank hold?</em></u>

Based on the question, we know that 3/4 of the tank equals 42 gallons. Divide 42 by the numerator, 3.

42/3 = 14

Now, multiply 14 by the denominator, 4.

14 x 4 = 56.

<em><u>So, the tank can hold 56 gallons.</u></em> [If you'd like to double check this answer, take the fraction 42/56 and simplify it to get 3/4.

<u><em>Q2: How much water was originally in the tank?</em></u>

We know that the tank's maximum capacity is 56 gallons. So, if it was 1/8 originally full, multiply 56 by 1/8. [Remember that 56 as a fraction can be written as 56/1]

1/8(56/1) = 7

<u><em>This means that the tank was originally 7 gallons full.</em></u> [If you'd like to double check this answer, take the fraction 1/8 and multiply the numerator and denominator by 7. This gets you 7/56, or 7 gallons out of the total capacity, 56 gallons.]

<u><em>Q3: How much water is in the tank when it is 1/2 full?</em></u>

Earlier, we found out that the maximum capacity of the tank is 56 gallons. To find out how many gallons it holds when its half full, divide 56 by 2.

56/2 = 28

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Divide each side by 2.5

2.5x / 2.5 = 671/2.5

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