25 + (x - 2) * 15 = 70 Simplify: 25 + 15x - 30 = 70 Combine like terms: 15x - 5 = 70 Add 5 to both sides: 15x = 75 Divide by 15 on both sides: x = 5
Now, let's solve the second equation:
72 : (12 - x : 4) = 9 First, simplify the expression inside the parentheses: 72 : (12 - x/4) = 9 Now combine the terms inside the parentheses: 72 : (12 - 5/4) = 9 Calculate 12 - 5/4: 12 - 5/4 = 48/4 - 5/4 = 43/4
Now substitute back in the expression: 72 : 43/4 = 9 To divide by a fraction, we can multiply by the reciprocal: 72 4/43 = 9 288 / 43 = 9 43 9 = 288 288 = 288
Therefore, the solution to the second equation is verified.
To solve the first equation:
25 + (x - 2) * 15 = 70
Simplify:
25 + 15x - 30 = 70
Combine like terms:
15x - 5 = 70
Add 5 to both sides:
15x = 75
Divide by 15 on both sides:
x = 5
Now, let's solve the second equation:
72 : (12 - x : 4) = 9
First, simplify the expression inside the parentheses:
72 : (12 - x/4) = 9
Now combine the terms inside the parentheses:
72 : (12 - 5/4) = 9
Calculate 12 - 5/4:
12 - 5/4 = 48/4 - 5/4 = 43/4
Now substitute back in the expression:
72 : 43/4 = 9
To divide by a fraction, we can multiply by the reciprocal:
72 4/43 = 9
288 / 43 = 9
43 9 = 288
288 = 288
Therefore, the solution to the second equation is verified.