Question

Уравнение. 84a+25a+7=443. 4(9+7x)21=393. 486:(5x+2)=18. 5(14+ b)+6b=258

Answer 1

84a+25a+7=443
109a+7=443
109a=443-7
109a=436
a=4

Answer 2

1) 84a + 25a + 7 = 443 Combine like terms: 109a + 7 = 443 Subtract 7 from both sides: 109a = 436 Divide both sides by 109: a = 4

2) 4(9 + 7x) + 21 = 393 Distribute the 4: 36 + 28x + 21 = 393 Combine like terms: 28x + 57 = 393 Subtract 57 from both sides: 28x = 336 Divide both sides by 28: x = 12

3) 486 ÷ (5x + 2) = 18 Multiply both sides by (5x + 2): 486 = 18(5x + 2) Distribute the 18: 486 = 90x + 36 Subtract 36 from both sides: 450 = 90x Divide both sides by 90: x = 5

4) 5(14 + b) + 6b = 258 Distribute the 5: 70 + 5b + 6b = 258 Combine like terms: 70 + 11b = 258 Subtract 70 from both sides: 11b = 188 Divide both sides by 11: b = 17

So the solutions for the given equations are: 1) a = 4 2) x = 12 3) x = 5 4) b = 17