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trasher [3.6K]
2 years ago
15

a man is 18 years older than his son. 3 years ago he was 4 times as old as his son how old is the man now​

Mathematics
1 answer:
Andru [333]2 years ago
7 0

Answer:

The man is 27 years old.

Step-by-step explanation:

You can create a system of equations.
Let x = the age of the man
Let y = the age of his son
You can create the following equations based on what was given in the problem:
1. x = y + 18
2. (x - 3) = 4(y - 3)
You can simplify the second equation:
x - 3 = 4y - 12
x = 4y - 9
Then, solve the system of equations:
x = y + 18
-
x = 4y - 9
____________
0 = -3x + 27
The son's age is 9, therefore the father is 27 years old.

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Answer:

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Step-by-step explanation:

7 0
3 years ago
Which ordered pair is the best estimate for the solution of the system of equations
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The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

The given system of equations is:

y=-\frac{1}{2}x + 4.......................(1)\\\\y = \frac{1}{2}x-3..........................(2)

Equate equations (1) and (2)

-\frac{1}{2}x + 4=\frac{1}{2}x -3

Solve for x in the equation above

-\frac{1}{2}x -\frac{1}{2}x =-3-4\\\\-x=-7\\\\x=7

Substitute x = 7 into equation (1)

y=-\frac{1}{2}x + 4\\\\y=-\frac{1}{2}(7) + 4\\\\y=\frac{1}{2}

The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

Learn more on system of equations here: brainly.com/question/13729904

5 0
3 years ago
Michael has $1,059.35 in his checking account. He is going to spend $466.43 on a new television, and he will spend the rest on s
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Answer:

D. $43.00x + $466.43 < $1,059.35

Step-by-step explanation:

He has $1,059.35.

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Each speaker is $43.00, and he is buying one television, which is $466.43.

All of the speakers he buys and(+) the television must be less than $1,059.35 because that's all he has. It cannot be more, which is why the equation is $43.00x + $466.43 < $1,059.35.

Hope this helps!

3 0
2 years ago
Read 2 more answers
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plugging in x = 3 makes y = 6 in equation A, but not in equation C where y = 10

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