4s+2b=100
2s+3b=70
Usin elimation
To eliminate the variable "s", we can multiply the first equation by 2 and the second equation by -4, and then add the two equations together.
2(4s+2b) + (-4)(2s+3b) = 2(100) + (-4)(70)
8s + 4b - 8s - 12b = 200 - 280
-8b = -80
Simplifying, we get:
8b = 80
Dividing both sides by 8:
b = 10
Now, substitute this value of b into either of the original equations. Let's use the first equation:
4s + 2(10) = 100
4s + 20 = 100
Subtracting 20 from both sides:
4s = 80
Dividing both sides by 4:
s = 20
So, the solution to the system of equations is s = 20 and b = 10.