Question

The sum of two numbers is 13. two times the first number minus three times the second number is 1. if you let x stand for the first number and y for the second number, what are the two numbers?

a. x = ���8, y = ���5
b. x = 5, y = 8
c. x = 8, y = 5
d. x = ���5, y = ���8

Answer 1

x + y = 13......x = 13 - y
2x - 3y = 1

2(13 - y) - 3y = 1
26 - 2y - 3y = 1
-2y - 3y = 1 - 26
-5y = -25
y = -25/-5
y = 5

x + y = 13
x + 5 = 13
x = 13 - 5
x = 8

so, x = 8 and y = 5