Answer :
m + n = 5
m= n + 3
plug m=n+3 into the first equation.
(n+3)+n=5
n+n+3=5
2n+3=5
2n=2
n=1
m= n + 3
plug m=n+3 into the first equation.
(n+3)+n=5
n+n+3=5
2n+3=5
2n=2
n=1
First rearrange the first equation and solve it for 'm':
m + n = 5
Subtract n to both sides:
m = -n + 5
Now plug in -n + 5 for 'm' in the 2nd equation:
-n + 5 - n = 3
Combine like terms:
-2n + 5 = 3
Subtract 5 to both sides:
-2n = -2
Divide -2 to both sides:
n = 1
Now we can plug this back into any of the two equations and solve for 'm':
m + n = 5
m + 1 = 5
Subtract 1 to both sides:
m = 4
So our full answer is (4, 1)
m + n = 5
Subtract n to both sides:
m = -n + 5
Now plug in -n + 5 for 'm' in the 2nd equation:
-n + 5 - n = 3
Combine like terms:
-2n + 5 = 3
Subtract 5 to both sides:
-2n = -2
Divide -2 to both sides:
n = 1
Now we can plug this back into any of the two equations and solve for 'm':
m + n = 5
m + 1 = 5
Subtract 1 to both sides:
m = 4
So our full answer is (4, 1)