Question

One number is four more than a second number. Two times the first number is 12 more than four times the second number.


a. - 10 and - 14
b. 1 and - 3
c. 2 and - 2
d. 3 and - 1 One number is four more than a second number. Two times the first number is 12 more than four times the second number.


a. - 10 and - 14
b. 1 and - 3
c. 2 and - 2
d. 3 and - 1 @Mathematics

Answer 1

Let us start peeling the problem step at a time.

Anytime you have a problem talking about some unknown numbers, assume they are x and y. In this case, let us say the first number is x and second number is y. We don't know what they are yet.

Then, transform words into equations.

One number is four more than the second number => x = y + 4 (four more)

Two times the first number is 12 more than four times the second number => 2x = 12 + 4y.

You need now solve these two equations:
x = y + 4
2x = 4y + 12

Answer 2

i got D?

Answer 3

2(y+4) = 4y + 12
=> 2y + 8 = 4y + 12
=> 2y -4y = 12 -8
=> -2y = 4
=> y = -2

=> x = -2 + 4
=> x = 2

Answer 4

You can verify if your answer is right or wrong by plugging in the values of x and y you got into the original two equations and see if they compute.

Answer 5

Thank you so much!