# A first number plus twice a second number is 14, Twice the first number plus the second totals 37. How do you find the numbers?

Dec 8, 2016

x=20, y=-3

#### Explanation:

Let first number be 'x' and second number be 'y'. Then,

x+2y=14 and 2x+y=37. To solve this system of equations multiplythe first equation by 2 and subtract the second equation from it, eliminating x

2x+4y-(2x+y)= 28-37$\to 3 y = - 9 \to y = - 3$

Now using the first equation, it would be x-6=14 #-> x=20