NEED HELP WITH ELIMINATION METHOD QUESTION

Question

one number is four more than a second number. two times the first number is 12 more than four times the second number

Answer 1

Let x equal the first number and y equal the second number. Then we know that x - y = 4.

 

We also know that 2x = 4y + 12, or 2x - 4y = 12

 

Our system of equations is

 

x - y = 4

2x - 4y = 12

 

We can use the Elimination Method by multiplying the top equation by 2 and subtracting the bottom equation from it

 

   2x - 2y = 8

- (2x - 4y = 12)

 

2y = -4

y = -2

 

You should easily be able to obtain the value of x