Question

The sum of two numbers is 8 more than four times the first number. Their difference is 10 less than three times the second number. Find each of the numbers.

Answer 1

first number= -2 and the second number = 2

Explanation:

x= one number and y= the other

your two equations are x+y=4x+8 and x-y=3y-10

by solving the first one for y, y=3x+8 so plug that in for y in the second equation

x-(3x+8)=3(3x+8)-10

x-3x-8=9x+24-10

-2x-8=9x=14

11x=-22 so x=-2

now plug that in and solve for y

-2+y=4(-2)+8

y=2