Question

One number added to twice another number is 13. Four times the first

number added to twice the other number is -2. What are the numbers?

Answer 1

Let's call the first number x, and the second number y. Putting what you have said into equation form:


`x+2y=13 \\\\4x+2y=-2`

Subtracting one equation from another gives:


`x+2y=13 \\-(4x+2y=-2) \\\\-3x=15 \\x=-5`

If x = -5,


`x+2y=13 \\(-5)+2y=13 \\2y=18 \\y=9`

So the first number is -2, the second number is 9