Answer:
The answer to your question is 1.- (37/2, -9/2) 2.- g = 4 and h = 2
Step-by-step explanation:
Data
Equation 1 2x + 8y = 1
Equation 2 x = -3y + 5
Process
1.- Substitute equation 2 in equation 1
2(-3y + 5) + 8y = 1
Expand
-6y + 10 + 8y = 1
Solve for y
8y - 6y = 1 - 10
2y = -9
y = -9/2
2.- Substitute y in equation 2 to find x
x = -3(-9/2) + 5
Simplify
x = 27/2 + 5
x = 27/2 + 10/2
x = 37/2
Solution (37/2, -9/2)
2.-
Equation 1 6g + 8h = 40
Equation 2 -6g + 2h = -20
Process
1.- Add both equations
Result
0 + 10h = 20
Solve for h
h = 20/10
h = 2
2.- Substitute h in Equation 1 to find g
6g + 8(2) = 40
Simplification
6g + 16 = 40
Solve for g
6g = 40 - 16
6g = 24
g = 24/6
g = 4
Solution g = 4 and h = 2
Since we want the minimum value we are going to be rounding up from a smaller number. So we know the whole number will be 122. Now we find the smallest number that will round up which is .5. Answer is 122.5
122.4 would've rounded down.
