Question

One number is 4 more than 4 times another. Their sum is 19. Find the two numbers.

Answer 1

they are 16 and 3

Explanation:

y=4+4x and x+y=19 so now use system of equations

-4x+y=4 and x+y=19 now multiply the entire second equation by 4

-4x+y=4 and 4x+4y=76 now add the equations to cancel out the Xs

5y=80 now you solve for y by dividing both sides by 5 to get y=16

so now that you know y=16, you can plug it in to either original equation to solve for x. I chose x+y=19 because it is a simpler equation

x+y=19

x+16=19

x=19-16

x=3

so the two numbers are 16 and 3 because y=16 and x=3

let me know if you need further clarification, this was a little quick