Question

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?

Answer 1

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`-> 3y= -9 -> y=-3`

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