Let's solve each equation step by step:
1) 4(-4a + 5b - 3c) = -7(d - 8 + 6f) = --16a + 20b - 12c = -7d + 56 - 42-16a + 20b - 12c = -7d - 42f + 5-16a + 20b - 12c + 7d + 42f = 56
2) 2a(-3b + 0.2c - 5d) = -8(5/16 * -1/4y + 1/24z - 2.5-6ab + 0.4ac - 10ad = 0.3125y - 0.3333z + 2-6ab + 0.4ac - 10ad - 0.3125y + 0.3333z = 20
3) -(7(7a + 6) + 25a) = 13(b - 5) + (12 - 3b-49a - 42 - 25a = 13b - 65 + 12 - 3-74a = 10b - 974a + 10b = 95
4) (12 - 3b) = 1.6(9a - 3b) - 1.5(4b - 6a12 - 3b = 14.4a - 4.8b - 6b + 912 - 3b = 23.4a - 10.83b + 10.8b = 23.4a - 12
5) We will now simplify the last equation you provided1.6(9a - 3b) - 1.5(4b - 6a) = 11.4a - 4.8b - 6b + 9a = 20.4a - 10.5b
Therefore, the system of equations is as follows-16a + 20b - 12c + 7d + 42f = 5-6ab + 0.4ac - 10ad - 0.3125y + 0.3333z = 274a + 10b = 93b + 10.8b = 23.4a - 120.4a - 10.5b = x (x is the remaining unknown value)
Let's solve each equation step by step:
1) 4(-4a + 5b - 3c) = -7(d - 8 + 6f) = -
-16a + 20b - 12c = -7d + 56 - 42
-16a + 20b - 12c = -7d - 42f + 5
-16a + 20b - 12c + 7d + 42f = 56
2) 2a(-3b + 0.2c - 5d) = -8(5/16 * -1/4y + 1/24z - 2.5
-6ab + 0.4ac - 10ad = 0.3125y - 0.3333z + 2
-6ab + 0.4ac - 10ad - 0.3125y + 0.3333z = 20
3) -(7(7a + 6) + 25a) = 13(b - 5) + (12 - 3b
-49a - 42 - 25a = 13b - 65 + 12 - 3
-74a = 10b - 9
74a + 10b = 95
4) (12 - 3b) = 1.6(9a - 3b) - 1.5(4b - 6a
12 - 3b = 14.4a - 4.8b - 6b + 9
12 - 3b = 23.4a - 10.8
3b + 10.8b = 23.4a - 12
5) We will now simplify the last equation you provided
1.6(9a - 3b) - 1.5(4b - 6a) = 11.4a - 4.8b - 6b + 9a = 20.4a - 10.5b
Therefore, the system of equations is as follows
-16a + 20b - 12c + 7d + 42f = 5
-6ab + 0.4ac - 10ad - 0.3125y + 0.3333z = 2
74a + 10b = 9
3b + 10.8b = 23.4a - 1
20.4a - 10.5b = x (x is the remaining unknown value)