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 forbthe first number and y for the second number, what are the two numbers

A.x=5,y=8
B.x=8, y=5
C.x=-5, y=-8
D.x=-8,y=-5

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