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aev [14]
3 years ago
9

The sum of two numbers is 25. One number is twice the second number plus seven. What are the two numbers ?

Mathematics
1 answer:
Hoochie [10]3 years ago
4 0

Answer:

the two numbers are 19 and 6

Step-by-step explanation:

so we know that there are two numbers that added together give us 25

x+x=25


one of the numbers is twice the amount of the second plus 7

(2x+7)+x=25


simplify 2x+7+x

3x+7=25


subtract 7 from both sides

3x=18


divide 3 by both sides

x=6


and there is your answer.

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Solve the system by substitution.<br> [-2.5x+y = 13.5<br> 12.25x - y=-12.25
IrinaK [193]

Answer:

x = 5/39 , y = 539/39

Step-by-step explanation:

Solve the following system:

{y - 2.5 x = 13.5

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In the first equation, look to solve for y:

{y - 2.5 x = 13.5

12.25 x - y = -12.25

y - 2.5 x = y - (5 x)/2 and 13.5 = 27/2:

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Substitute y = 1/2 (5 x + 27) into the second equation:

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In the second equation, look to solve for x:

{y = 1/2 (5 x + 27)

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9.75 x - 27/2 = (39 x)/4 - 27/2 and -12.25 = -49/4:

(39 x)/4 - 27/2 = -49/4

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{y = 1/2 (5 x + 27)

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Multiply both sides by 4/39:

{y = 1/2 (5 x + 27)

x = 5/39

Substitute x = 5/39 into the first equation:

{y = 539/39

x = 5/39

Collect results in alphabetical order:

Answer: {x = 5/39 , y = 539/39

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