Question

A first plus twice a second number is one. twice the first number plus the second totals fourteen.​

Answer 1

First Number = 9

Second Number = -4

Explanation:

Let the first number be "x" and the 2nd number be "y"

First number PLUS twice 2nd is 1, so we can write:

x + 2 y = 1

Twice First number PLUS the 2nd number is 14, so we can write:

2x + y = 14

We can write:

y = 14 - 2x

We put this into 1st equation and solve for x:

x + 2y = 1

x + 2(14 - 2x) = 1

x + 28 - 4x = 1

-3x = -27

x = 9

And now y:

y = 14 - 2(x)

y = 14 -2(9)

y = 14 - 18

y = -4

First Number = 9

Second Number = -4