Substitution Method
y=x+5
3x+y=25
(5,10)
5m-p=7
7m-p=11
(2,3)
8x+5y=38
-8x+2y=4
(1,6)
I have two numbers in my head. When you added them up you get 46 and when you subtract them you get 16. What are my two numbers?
31 and 15
x=y-2
4x+y=2
(0,2)
7f+3g=-6
7f-2g=-31
(-3,5)
5m-2p=24
3m+2p=24
(6,3)
The sum of two numbers is 28 and their difference is 4. What are the numbers?
16 and 12
3x+y=6
4x+2y=8
(2,0)
6a-3b=27
2a-3b=11
(4,-1)
9x+6y=78
3x-6y=-30
(4,7)
Find the two numbers whose sum is 29 and whose difference is 15. What are the numbers?
22 and 7
2x+3y=4
4x+6y=9
No Solution
6r-6t=6
3r-6t=15
(-3,-4)
-3x-8y=-24
3x-5y=4.5
(4,1.5)
The sum of two numbers is 70. One number is ten more than twice the other number. What are the numbers?
50 and 20
x-y=1
3x=3y+3
infinitely many solutions
11f+14g=13
11f+10g=25
(5,-3)
3j+4k=23.5
8j-4k=4
(2.5,4)
Two times a number added to another number is 25. Three times the first number minus the other number is 20. What are the numbers?
9 and 7