To solve each of these equations, we need to isolate the variable x.
1) 19306 ÷ (x + 6) = 98 First, multiply both sides by (x + 6) to get rid of the denominator: 19306 = 98(x + 6) 19306 = 98x + 588 Subtract 588 from both sides: 18718 = 98x Divide by 98: x = 191
2) 14 × (x + 19) = 378 First, distribute the 14: 14x + 266 = 378 Subtract 266 from both sides: 14x = 112 Divide by 14: x = 8
3) 81 ÷ (x + 47) = 4374 First, multiply both sides by (x + 47) to get rid of the denominator: 81 = 4374(x + 47) 81 = 4374x + 206478 Subtract 206478 from both sides: -206397 = 4374x Divide by 4374: x = -47
To solve each of these equations, we need to isolate the variable x.
1) 19306 ÷ (x + 6) = 98
First, multiply both sides by (x + 6) to get rid of the denominator:
19306 = 98(x + 6)
19306 = 98x + 588
Subtract 588 from both sides:
18718 = 98x
Divide by 98:
x = 191
2) 14 × (x + 19) = 378
First, distribute the 14:
14x + 266 = 378
Subtract 266 from both sides:
14x = 112
Divide by 14:
x = 8
3) 81 ÷ (x + 47) = 4374
First, multiply both sides by (x + 47) to get rid of the denominator:
81 = 4374(x + 47)
81 = 4374x + 206478
Subtract 206478 from both sides:
-206397 = 4374x
Divide by 4374:
x = -47