To solve the simultaneous equations:
1. Start with the equations:
2n + 4n = 26 (1)
5m - 2n = 11 (2)
2. Simplify equation (1):
6n = 26
3. Divide both sides by 6:
n = 26/6
n = 13/3 or approximately 4.33
4. Substitute the value of n into equation (2):
5m - 2(13/3) = 11
5. Simplify:
5m - 26/3 = 11
6. Add 26/3 to both sides:
5m = 11 + 26/3
5m = 33/3 + 26/3
5m = 59/3
7. Divide both sides by 5:
m = (59/3) / 5
m = (59/3) * (1/5)
m = 59/15 or approximately 3.93
So, the solution to the simultaneous equations is:
n ≈ 4.33
m ≈ 3.93
