twice by first number decreased by second number is 1. first number increased by four times the second number is -40. find the numbers

Question

twice by first number decreased by second number is 1. first number increased by four times the second number is -40. find the numbers

Answer 1

Hi Sarah,

 

Let's translate the English into math:

Let X = the first number

Let Y = the second number

 

twice the first number decreased by the second number is 1-->2X - Y = 1

 

first number increased by four times the second number is -40--> X + 4Y = -40

 

Let's multiply the first number by 4 so that we''ll get 4Y and then we'll add the two equations and eliminate the Y term.

 

   8X - 4Y = 4

+ X + 4Y = -40

--------------------

9X = -36

 

Divide both sides by 9--> X = -4

 

I'll let you figure out Y

 

Dan